diff --git a/bib/bibliography.bib b/bib/bibliography.bib index f0bc691..bbd1fd5 100755 --- a/bib/bibliography.bib +++ b/bib/bibliography.bib @@ -689,3 +689,1339 @@ @Article{Bruguieres2012 keywords = {18C20 (16T05)}, mrnumber = {2869176}, } + +@Article{batista16:hopf, + Author = {Batista, E. and Caenepeel, S. and Vercruysse, J.}, + Title = {Hopf categories}, + FJournal = {Algebras and Representation Theory}, + Journal = {Algebr. Represent. Theory}, + ISSN = {1386-923X}, + Volume = {19}, + Number = {5}, + Pages = {1173--1216}, + Year = {2016}, + Language = {English}, + DOI = {10.1007/s10468-016-9615-6}, + Keywords = {16T05,18D20,18D05}, + URL = {biblio.vub.ac.be/vubirfiles/25416207/HopfCategories6.pdf}, + zbMATH = {6658475}, + Zbl = {1373.16057} +} + +@Article{batista16:hopf, + Author = {Batista, E. and Caenepeel, S. and Vercruysse, J.}, + Title = {Hopf categories}, + FJournal = {Algebras and Representation Theory}, + Journal = {Algebr. Represent. Theory}, + ISSN = {1386-923X}, + Volume = {19}, + Number = {5}, + Pages = {1173--1216}, + Year = {2016}, + Language = {English}, + DOI = {10.1007/s10468-016-9615-6}, + Keywords = {16T05,18D20,18D05}, + URL = {biblio.vub.ac.be/vubirfiles/25416207/HopfCategories6.pdf}, + zbMATH = {6658475}, + Zbl = {1373.16057} +} + +@Article{grosskopf24:free-hopf, + Author = {Gro{\ss}kopf, Paul and Vercruysse, Joost}, + Title = {Free and co-free constructions for {Hopf} categories}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {228}, + Number = {10}, + Pages = {32}, + Note = {Id/No 107704}, + Year = {2024}, + Language = {English}, + DOI = {10.1016/j.jpaa.2024.107704}, + Keywords = {18M05,18C35,16T05,20L05}, + zbMATH = {7854093} +} + +@Article{wenzl12:fusion, + Author = {Wenzl, Hans}, + Title = {Fusion symmetric spaces and subfactors}, + FJournal = {Pacific Journal of Mathematics}, + Journal = {Pac. J. Math.}, + ISSN = {1945-5844}, + Volume = {259}, + Number = {2}, + Pages = {483--510}, + Year = {2012}, + Language = {English}, + DOI = {10.2140/pjm.2012.259.483}, + Keywords = {46L36,46L10,46L65,18D99}, + URL = {msp.org/pjm/2012/259-2/p12.xhtml}, + zbMATH = {6112768}, + Zbl = {1264.46043} +} + +@Article{evans21:class-so, + Author = {Evans, David E. and Pugh, Mathew}, + Title = {Classification of module categories for {{\(SO (3)_{2m} \)}}}, + FJournal = {Advances in Mathematics}, + Journal = {Adv. Math.}, + ISSN = {0001-8708}, + Volume = {384}, + Pages = {63}, + Note = {Id/No 107713}, + Year = {2021}, + Language = {English}, + DOI = {10.1016/j.aim.2021.107713}, + Keywords = {81Txx,46Lxx,17Bxx}, + zbMATH = {7415143} +} + +@Article{evans23:subfac, + Author = {Evans, David E. and Kawahigashi, Yasuyuki}, + Title = {Subfactors and mathematical physics}, + FJournal = {Bulletin of the American Mathematical Society. New Series}, + Journal = {Bull. Am. Math. Soc., New Ser.}, + ISSN = {0273-0979}, + Volume = {60}, + Number = {4}, + Pages = {459--482}, + Year = {2023}, + Language = {English}, + DOI = {10.1090/bull/1799}, + Keywords = {46L37,17B69,81R10,81T05,81T40,82B20,82B23,46-02}, + zbMATH = {7740542}, + Zbl = {1533.46045} +} + +@Article{fuchs02:tft-rcft, + Author = {Fuchs, J{\"u}rgen and Runkel, Ingo and Schweigert, Christoph}, + Title = {{TFT} construction of {RCFT} correlators. {I}: {Partition} functions}, + FJournal = {Nuclear Physics. B}, + Journal = {Nucl. Phys., B}, + ISSN = {0550-3213}, + Volume = {646}, + Number = {3}, + Pages = {353--497}, + Year = {2002}, + Language = {English}, + DOI = {10.1016/S0550-3213(02)00744-7}, + Keywords = {81T40,81T05}, + zbMATH = {1828103}, + Zbl = {0999.81079} +} + +@Article{brundan20:heisen-kac-moody, + Author = {Brundan, Jonathan and Savage, Alistair and Webster, Ben}, + Title = {Heisenberg and {Kac}-{Moody} categorification}, + FJournal = {Selecta Mathematica. New Series}, + Journal = {Sel. Math., New Ser.}, + ISSN = {1022-1824}, + Volume = {26}, + Number = {5}, + Pages = {61}, + Note = {Id/No 74}, + Year = {2020}, + Language = {English}, + DOI = {10.1007/s00029-020-00602-5}, + Keywords = {17B67,17B10,18N10}, + zbMATH = {7296285}, + Zbl = {1489.17020} +} + +@Article{mackaay23:simpl-soerg-coxet, + Author = {Mackaay, Marco and Mazorchuk, Volodymyr and Miemietz, Vanessa and Tubbenhauer, Daniel and Zhang, Xiaoting}, + Title = {Simple transitive 2-representations of {Soergel} bimodules for finite {Coxeter} types}, + FJournal = {Proceedings of the London Mathematical Society. Third Series}, + Journal = {Proc. Lond. Math. Soc. (3)}, + ISSN = {0024-6115}, + Volume = {126}, + Number = {5}, + Pages = {1585--1655}, + Year = {2023}, + Language = {English}, + DOI = {10.1112/plms.12515}, + Keywords = {18N10,18D25,16D20,18A50,18N25,20C08}, + zbMATH = {7740457}, + Zbl = {1522.18033} +} + +@Article{ben-zvi18:quant, + Author = {Ben-Zvi, David and Brochier, Adrien and Jordan, David}, + Title = {Quantum character varieties and braided module categories}, + FJournal = {Selecta Mathematica. New Series}, + Journal = {Sel. Math., New Ser.}, + ISSN = {1022-1824}, + Volume = {24}, + Number = {5}, + Pages = {4711--4748}, + Year = {2018}, + Language = {English}, + DOI = {10.1007/s00029-018-0426-y}, + Keywords = {17B37,16T05,18M15}, + zbMATH = {6976971}, + Zbl = {1456.17010} +} + +@Article{ben-zvi10:integ-drinf, + Author = {Ben-Zvi, David and Francis, John and Nadler, David}, + Title = {Integral transforms and {Drinfeld} centers in derived algebraic geometry}, + FJournal = {Journal of the American Mathematical Society}, + Journal = {J. Am. Math. Soc.}, + ISSN = {0894-0347}, + Volume = {23}, + Number = {4}, + Pages = {909--966}, + Year = {2010}, + Language = {English}, + DOI = {10.1090/S0894-0347-10-00669-7}, + Keywords = {14F05,18E30,14A20}, + zbMATH = {5797887}, + Zbl = {1202.14015} +} + +@Article{pascaleff18:poiss-fukay-floer, + author = {Pascaleff, James}, + journal = {arXiv e-prints}, + title = {{P}oisson geometry, monoidal {F}ukaya categories, and commutative {F}loer cohomology rings}, + year = {2018}, + eprint = {1803.07676}, + eprintclass = {math.SG}, + eprinttype = {arXiv}, + keywords = {math.SG, 53D17, 53D37, 53D40}, +} + +@Article{capucci22:acteg-workin-amthem, + author = {Capucci, Matteo and Gavranović, Bruno}, + journal = {arXiv e-prints}, + title = {{A}ctegories for the {W}orking {A}mthematician}, + year = {2022}, + eprint = {2203.16351}, + eprintclass = {math.CT}, + eprinttype = {arXiv}, + keywords = {math.CT, 18-02}, +} + +@Article{adamek01, + Author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and El Bashir, Robert and Sobral, Manuela and Ji{\v{r}}{\'{\i}}, Velebil}, + Title = {On functors which are lax epimorphisms}, + FJournal = {Theory and Applications of Categories}, + Journal = {Theory Appl. Categ.}, + ISSN = {1201-561X}, + Volume = {8}, + Pages = {509--521}, + Year = {2001}, + Language = {English}, + Keywords = {18A20,18D05,18A22}, + zbMATH = {1668934}, + Zbl = {1003.18001} +} + +@Book{adamek94:local, + Author = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Rosick{\'y}, Ji{\v{r}}{\'{\i}}}, + Title = {Locally presentable and accessible categories}, + FSeries = {London Mathematical Society Lecture Note Series}, + Series = {Lond. Math. Soc. Lect. Note Ser.}, + ISSN = {0076-0552}, + Volume = {189}, + ISBN = {0-521-42261-2}, + Year = {1994}, + Publisher = {Cambridge: Cambridge University Press}, + Language = {English}, + Keywords = {18C10,03E55,03G30,18-02}, + zbMATH = {575948}, + Zbl = {0795.18007} +} + +@Book{assem06:elemen, + Author = {Assem, Ibrahim and Simson, Daniel and Skowro{\'n}ski, Andrzej}, + Title = {Elements of the representation theory of associative algebras. {Vol}. 1: {Techniques} of representation theory.}, + FSeries = {London Mathematical Society Student Texts}, + Series = {Lond. Math. Soc. Stud. Texts}, + ISSN = {0963-1631}, + Volume = {65}, + ISBN = {0-521-58631-3; 0-521-58423-X}, + Year = {2006}, + Publisher = {Cambridge: Cambridge University Press}, + Language = {English}, + Keywords = {16-01,16-02,16G10,16G60,16G70,16B50,16E30}, + zbMATH = {2228448}, + Zbl = {1092.16001} +} + +@Article{betti83:variat, + Author = {Betti, R. and Carboni, A. and Street, R. and Walters, R.}, + Title = {Variation through enrichment}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {29}, + Pages = {109--127}, + Year = {1983}, + Language = {English}, + DOI = {10.1016/0022-4049(83)90100-7}, + Keywords = {18D20,18D05,18D30,18F20}, + zbMATH = {3910587}, + Zbl = {0571.18004} +} + +@Book{borceux94:handb, + Author = {Borceux, Francis}, + Title = {Handbook of categorical algebra. {Volume} 1: {Basic} category theory}, + FSeries = {Encyclopedia of Mathematics and Its Applications}, + Series = {Encycl. Math. Appl.}, + ISSN = {0953-4806}, + Volume = {50}, + ISBN = {0-521-44178-1}, + Year = {1994}, + Publisher = {Cambridge: Cambridge Univ. Press}, + Language = {English}, + Keywords = {18-00}, + zbMATH = {626734}, + Zbl = {0803.18001} +} + +@Article{borceux86:cauch, + Author = {Borceux, Francis and Dejean, Dominique}, + Title = {Cauchy completion in category theory}, + FJournal = {Cahiers de Topologie et G{\'e}om{\'e}trie Diff{\'e}rentielle Cat{\'e}goriques}, + Journal = {Cah. Topologie G{\'e}om. Diff{\'e}r. Cat{\'e}goriques}, + ISSN = {0008-0004}, + Volume = {27}, + Number = {2}, + Pages = {133--146}, + Year = {1986}, + Language = {English}, + Keywords = {18A35,18D20,54E52,18A30}, + zbMATH = {3957387}, + Zbl = {0595.18001} +} + +@Article{day71:const, + Author = {Day, Brian}, + Title = {Construction of biclosed categories}, + FJournal = {Bulletin of the Australian Mathematical Society}, + Journal = {Bull. Aust. Math. Soc.}, + ISSN = {0004-9727}, + Volume = {5}, + Pages = {139--140}, + Year = {1971}, + Language = {English}, + DOI = {10.1017/S0004972700046979}, + Keywords = {18D15}, + zbMATH = {3338504}, + Zbl = {0213.29702} +} + +@Misc{deligne90:categ, + Author = {Deligne, P.}, + Title = {Cat{\'e}gories tannakiennes. ({Tannaka} categories)}, + Year = {1990}, + Language = {French}, + HowPublished = {The {Grothendieck} {Festschrift}, {Collect}. {Artic}. in {Honor} of the 60th {Birthday} of {A}. {Grothendieck}. {Vol}. {II}, {Prog}. {Math}. 87, 111-195 (1990).}, + Keywords = {14F99,14L15,18B40,14E20,20L05,13N10}, + zbMATH = {4200368}, + Zbl = {0727.14010} +} + +@Article{deligne02:categ, + Author = {Deligne, P.}, + Title = {Cat{\'e}gories tensorielles. ({Tensor} categories)}, + FJournal = {Moscow Mathematical Journal}, + Journal = {Mosc. Math. J.}, + ISSN = {1609-3321}, + Volume = {2}, + Number = {2}, + Pages = {227--248}, + Year = {2002}, + Language = {French}, + Keywords = {18D99,20C99}, + URL = {www.ams.org/distribution/mmj/vol2-2-2002/abst2-2-2002.html}, + zbMATH = {1834392}, + Zbl = {1005.18009} +} + +@Article{day97:monoid-hopf, + Author = {Day, Brain and Street, Ross}, + Title = {Monoidal bicategories and {Hopf} algebroids}, + FJournal = {Advances in Mathematics}, + Journal = {Adv. Math.}, + ISSN = {0001-8708}, + Volume = {129}, + Number = {1}, + Pages = {99--157}, + Year = {1997}, + Language = {English}, + DOI = {10.1006/aima.1997.1649}, + Keywords = {18D05,16W30,18D10}, + zbMATH = {1042604}, + Zbl = {0910.18004} +} + +@Article{douglas19, + Author = {Douglas, Christopher L. and Schommer-Pries, Christopher and Snyder, Noah}, + Title = {The balanced tensor product of module categories}, + FJournal = {Kyoto Journal of Mathematics}, + Journal = {Kyoto J. Math.}, + ISSN = {2156-2261}, + Volume = {59}, + Number = {1}, + Pages = {167--179}, + Year = {2019}, + Language = {English}, + DOI = {10.1215/21562261-2018-0006}, + Keywords = {18C40,16B50}, + zbMATH = {7081625}, + Zbl = {1478.18006} +} + +@Article{drinfeld90:quasi-hopf, + Author = {Drinfel'd, V. G.}, + Title = {Quasi-{Hopf} algebras}, + FJournal = {Leningrad Mathematical Journal}, + Journal = {Leningr. Math. J.}, + ISSN = {1048-9924}, + Volume = {1}, + Number = {6}, + Pages = {1419--1457}, + Year = {1990}, + Language = {English}, + Keywords = {16W30,17B37,81R50,17B35}, + zbMATH = {4183634}, + Zbl = {0718.16033} +} + +@Article{etingof04:finit, + Author = {Etingof, Pavel and Ostrik, Viktor}, + Title = {Finite tensor categories}, + FJournal = {Moscow Mathematical Journal}, + Journal = {Mosc. Math. J.}, + ISSN = {1609-3321}, + Volume = {4}, + Number = {3}, + Pages = {627--654, 782--783}, + Year = {2004}, + Language = {English}, + Keywords = {18D10,18E10,16W30}, + URL = {www.ams.org/distribution/mmj/vol4-3-2004/cont4-3-2004.html}, + zbMATH = {2150986}, + Zbl = {1077.18005} +} + +@Article{fuchs20:eilen-watts-radfor-s, + Author = {Fuchs, J{\"u}rgen and Schaumann, Gregor and Schweigert, Christoph}, + Title = {Eilenberg-{Watts} calculus for finite categories and a bimodule {Radford} {{\(S^4\)}} theorem}, + FJournal = {Transactions of the American Mathematical Society}, + Journal = {Trans. Am. Math. Soc.}, + ISSN = {0002-9947}, + Volume = {373}, + Number = {1}, + Pages = {1--40}, + Year = {2020}, + Language = {English}, + DOI = {10.1090/tran/7838}, + Keywords = {16T05,16G99,16T10,18M15}, + zbMATH = {7144583}, + Zbl = {1474.16078} +} + +@Book{gambino17, + Author = {Gambino, Nicola and Joyal, Andr{\'e}}, + Title = {On operads, bimodules and analytic functors}, + FSeries = {Memoirs of the American Mathematical Society}, + Series = {Mem. Am. Math. Soc.}, + ISSN = {0065-9266}, + Volume = {1184}, + ISBN = {978-1-4704-2576-0; 978-1-4704-4135-7}, + Year = {2017}, + Publisher = {Providence, RI: American Mathematical Society (AMS)}, + Language = {English}, + DOI = {10.1090/memo/1184}, + Keywords = {18D50,18D05,18C15}, + URL = {eprints.whiterose.ac.uk/86869/1/140604-Gambino-v3.pdf}, + zbMATH = {6788981}, + Zbl = {1393.18007} +} + +@Article{gao22, + Author = {Gao, Nan and K{\"u}lshammer, Julian and Kvamme, Sondre and Psaroudakis, Chrysostomos}, + Title = {A functorial approach to monomorphism categories for species. {I}}, + FJournal = {Communications in Contemporary Mathematics}, + Journal = {Commun. Contemp. Math.}, + ISSN = {0219-1997}, + Volume = {24}, + Number = {6}, + Pages = {55}, + Note = {Id/No 2150069}, + Year = {2022}, + Language = {English}, + DOI = {10.1142/S0219199721500693}, + Keywords = {18A20,16G70,18G25,16B50}, + zbMATH = {7570847}, + Zbl = {1498.18003} +} + +@Book{gordon95:coher, + Author = {Gordon, R. and Power, A. J. and Street, Ross H.}, + Title = {Coherence for tricategories}, + FSeries = {Memoirs of the American Mathematical Society}, + Series = {Mem. Am. Math. Soc.}, + ISSN = {0065-9266}, + Volume = {558}, + ISBN = {978-0-8218-0344-8; 978-1-4704-0137-5}, + Year = {1995}, + Publisher = {Providence, RI: American Mathematical Society (AMS)}, + Language = {English}, + DOI = {10.1090/memo/0558}, + Keywords = {18D05,55U35,68Q65,81T05}, + zbMATH = {804730}, + Zbl = {0836.18001} +} + +@Article{garner16:enric, + Author = {Garner, Richard and Shulman, Michael}, + Title = {Enriched categories as a free cocompletion}, + FJournal = {Advances in Mathematics}, + Journal = {Adv. Math.}, + ISSN = {0001-8708}, + Volume = {289}, + Pages = {1--94}, + Year = {2016}, + Language = {English}, + DOI = {10.1016/j.aim.2015.11.012}, + Keywords = {18D05,18A40,18D10,18D20}, + zbMATH = {6530905}, + Zbl = {1334.18004} +} + +@Article{gordon97:enric, + Author = {Gordon, R. and Power, A. J.}, + Title = {Enrichment through variation}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {120}, + Number = {2}, + Pages = {167--185}, + Year = {1997}, + Language = {English}, + DOI = {10.1016/S0022-4049(97)00070-4}, + Keywords = {18D05,18D10,18D15,18D20}, + zbMATH = {1067514}, + Zbl = {0881.18006} +} + +@Article{gurski12:biequiv, + Author = {Gurski, Nick}, + Title = {Biequivalences in tricategories}, + FJournal = {Theory and Applications of Categories}, + Journal = {Theory Appl. Categ.}, + ISSN = {1201-561X}, + Volume = {26}, + Pages = {349--384}, + Year = {2012}, + Language = {English}, + Keywords = {18D05,18D10,06F05,06F07,08B30}, + zbMATH = {6097020}, + Zbl = {1252.18013} +} + +@Book{gurski13:coher, + Author = {Gurski, Nick}, + Title = {Coherence in three-dimensional category theory}, + FSeries = {Cambridge Tracts in Mathematics}, + Series = {Camb. Tracts Math.}, + ISSN = {0950-6284}, + Volume = {201}, + ISBN = {978-1-107-03489-1; 978-1-139-54233-3}, + Year = {2013}, + Publisher = {Cambridge: Cambridge University Press}, + Language = {English}, + DOI = {10.1017/CBO9781139542333}, + Keywords = {18A99,18B99,18-02}, + zbMATH = {6154005}, + Zbl = {1314.18002} +} + +@Article{im86, + Author = {Im, Geun Bin and Kelly, G. M.}, + Title = {A universal property of the convolution monoidal structure}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {43}, + Pages = {75--88}, + Year = {1986}, + Language = {English}, + DOI = {10.1016/0022-4049(86)90005-8}, + Keywords = {18D20,18D10,18A35}, + zbMATH = {3975173}, + Zbl = {0604.18004} +} + +@Book{kashiwara06:categ, + Author = {Kashiwara, Masaki and Schapira, Pierre}, + Title = {Categories and sheaves}, + FSeries = {Grundlehren der Mathematischen Wissenschaften}, + Series = {Grundlehren Math. Wiss.}, + ISSN = {0072-7830}, + Volume = {332}, + ISBN = {3-540-27949-0}, + Year = {2006}, + Publisher = {Berlin: Springer}, + Language = {English}, + DOI = {10.1007/3-540-27950-4}, + Keywords = {18-02,18F20,14F05}, + zbMATH = {2193967}, + Zbl = {1118.18001} +} + +@Misc{kelly74:doctr, + Author = {Kelly, G. M.}, + Title = {Doctrinal adjunction}, + Year = {1974}, + Language = {English}, + HowPublished = {Category {Sem}., {Proc}., {Sydney} 1972/1973, {Lect}. {Notes} {Math}. 420, 257-280 (1974).}, + Keywords = {18A40,18D05,18C15}, + zbMATH = {3522182}, + Zbl = {0334.18004} +} + +@Book{kelly82:basic, + Author = {Kelly, Gregory Maxwell}, + Title = {Basic concepts of enriched category theory}, + FSeries = {London Mathematical Society Lecture Note Series}, + Series = {Lond. Math. Soc. Lect. Note Ser.}, + ISSN = {0076-0552}, + Volume = {64}, + Year = {1982}, + Publisher = {Cambridge University Press, Cambridge. London Mathematical Society, London}, + Language = {English}, + Keywords = {18D10,18D20,18-02,18D25,18D15}, + zbMATH = {3751225}, + Zbl = {0478.18005} +} + +@Book{kerler01:non, + Author = {Kerler, Thomas and Lyubashenko, V. V.}, + Title = {Non-semisimple topological quantum field theories for 3-manifolds with corners}, + FSeries = {Lecture Notes in Mathematics}, + Series = {Lect. Notes Math.}, + ISSN = {0075-8434}, + Volume = {1765}, + ISBN = {3-540-42416-4}, + Year = {2001}, + Publisher = {Berlin: Springer}, + Language = {English}, + DOI = {10.1007/b82618}, + Keywords = {57R56,16W30,57N10,57-02}, + URL = {link.springer.de/link/service/series/0304/tocs/t1765.htm}, + zbMATH = {1667470}, + Zbl = {0982.57013} +} + +@Article{kelly97, + Author = {Kelly, G. M. and Lack, Stephen}, + Title = {On property-like structures}, + FJournal = {Theory and Applications of Categories}, + Journal = {Theory Appl. Categ.}, + ISSN = {1201-561X}, + Volume = {3}, + Pages = {213--250}, + Year = {1997}, + Language = {English}, + Keywords = {18C10,18D05,18C15,18A40}, + zbMATH = {1129148}, + Zbl = {0935.18005} +} + +@Article{kelly00, + Author = {Kelly, G. M. and Lack, Stephen}, + Title = {On the monadicity of categories with chosen colimits}, + FJournal = {Theory and Applications of Categories}, + Journal = {Theory Appl. Categ.}, + ISSN = {1201-561X}, + Volume = {7}, + Pages = {148--170}, + Year = {2000}, + Language = {English}, + Keywords = {18A35,18D20,18C15}, + zbMATH = {1463530}, + Zbl = {0974.18002} +} + +@Article{kleiner90:adjoin-kleis, + Author = {Kleiner, Mark}, + Title = {Adjoint monads and an isomorphism of the {Kleisli} categories}, + FJournal = {Journal of Algebra}, + Journal = {J. Algebra}, + ISSN = {0021-8693}, + Volume = {133}, + Number = {1}, + Pages = {79--82}, + Year = {1990}, + Language = {English}, + DOI = {10.1016/0021-8693(90)90069-Z}, + Keywords = {18C20,18A40}, + zbMATH = {4152662}, + Zbl = {0703.18004} +} + +@Article{ko22:adjun, + Author = {Ko, Hankyung and Mazorchuk, Volodymyr and Zhang, Xiaoting}, + Title = {Adjunction in the absence of identity}, + FJournal = {Applied Categorical Structures}, + Journal = {Appl. Categ. Struct.}, + ISSN = {0927-2852}, + Volume = {30}, + Number = {1}, + Pages = {123--172}, + Year = {2022}, + Language = {English}, + DOI = {10.1007/s10485-021-09652-y}, + Keywords = {18N10,17B10,16G10}, + zbMATH = {7483096}, + Zbl = {1481.18026} +} + +@Article{kock95:monad, + Author = {Kock, Anders}, + Title = {Monads for which structures are adjoint to units}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {104}, + Number = {1}, + Pages = {41--59}, + Year = {1995}, + Language = {English}, + DOI = {10.1016/0022-4049(94)00111-U}, + Keywords = {18C15,18D05,18A30,18A40,18C20}, + zbMATH = {825324}, + Zbl = {0849.18008} +} + +@Book{kock70:stron, + Author = {Kock, Anders}, + Title = {Strong functors and monoidal monads}, + FSeries = {Various Publications Series. Aarhus Universitet}, + Series = {Var. Publ. Ser., Aarhus Univ.}, + ISSN = {0065-0188}, + Volume = {11}, + Year = {1970}, + Publisher = {Matematisk Institut, Aarhus Universitet, Aarhus}, + Language = {English}, + Keywords = {18C15,18D25,18D15}, + zbMATH = {3396143}, + Zbl = {0251.18007} +} + +@Article{krause98:funct, + Author = {Krause, Henning}, + Title = {Functors on locally finitely presented additive categories}, + FJournal = {Colloquium Mathematicum}, + Journal = {Colloq. Math.}, + ISSN = {0010-1354}, + Volume = {75}, + Number = {1}, + Pages = {105--132}, + Year = {1998}, + Language = {English}, + DOI = {10.4064/cm-75-1-105-132}, + Keywords = {18E05,16D90,18G05,18E10,18A35,18B15,16B50}, + zbMATH = {1121798}, + Zbl = {0893.18006} +} + +@Article{leinster02:gener, + Author = {Leinster, Tom}, + Title = {Generalized enrichment of categories}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {168}, + Number = {2-3}, + Pages = {391--406}, + Year = {2002}, + Language = {English}, + DOI = {10.1016/S0022-4049(01)00105-0}, + Keywords = {18D20,18D10,18D50,18D05}, + zbMATH = {1724909}, + Zbl = {1009.18006} +} + +@Article{lopez09:formal-hopf, + Author = {L{\'o}pez Franco, Ignacio L.}, + Title = {Formal {Hopf} algebra theory. {I}: {Hopf} modules for pseudomonoids}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {213}, + Number = {6}, + Pages = {1046--1063}, + Year = {2009}, + Language = {English}, + DOI = {10.1016/j.jpaa.2008.11.005}, + Keywords = {18D05,16W30}, + zbMATH = {5534974}, + Zbl = {1165.18006} +} + +@Article{lopez11:pseud-kz, + Author = {L{\'o}pez Franco, Ignacio}, + Title = {Pseudo-commutativity of {KZ} 2-monads}, + FJournal = {Advances in Mathematics}, + Journal = {Adv. Math.}, + ISSN = {0001-8708}, + Volume = {228}, + Number = {5}, + Pages = {2557--2605}, + Year = {2011}, + Language = {English}, + DOI = {10.1016/j.aim.2011.06.039}, + Keywords = {18D20,18D05,18D10,18D15,18C20}, + zbMATH = {5969495}, + Zbl = {1231.18006} +} + +@Article{lopez13:tensor, + Author = {L{\'o}pez Franco, Ignacio}, + Title = {Tensor products of finitely cocomplete and abelian categories}, + FJournal = {Journal of Algebra}, + Journal = {J. Algebra}, + ISSN = {0021-8693}, + Volume = {396}, + Pages = {207--219}, + Year = {2013}, + Language = {English}, + DOI = {10.1016/j.jalgebra.2013.08.015}, + Keywords = {18E10,16D90}, + zbMATH = {6340920}, + Zbl = {1305.18042} +} + +@Book{loregian21:co, + Author = {Loregian, Fosco}, + Title = {({Co})end calculus}, + FSeries = {London Mathematical Society Lecture Note Series}, + Series = {Lond. Math. Soc. Lect. Note Ser.}, + ISSN = {0076-0552}, + Volume = {468}, + ISBN = {978-1-108-74612-0; 978-1-108-77865-7}, + Year = {2021}, + Publisher = {Cambridge: Cambridge University Press}, + Language = {English}, + DOI = {10.1017/9781108778657}, + Keywords = {18-02,03-02}, + zbMATH = {7344233} +} + +@Article{mackaay19:simpl, + Author = {Mackaay, Marco and Mazorchuk, Volodymyr and Miemietz, Vanessa and Tubbenhauer, Daniel}, + Title = {Simple transitive 2-representations via (co)algebra 1-morphisms}, + FJournal = {Indiana University Mathematics Journal}, + Journal = {Indiana Univ. Math. J.}, + ISSN = {0022-2518}, + Volume = {68}, + Number = {1}, + Pages = {1--33}, + Year = {2019}, + Language = {English}, + DOI = {10.1512/iumj.2019.68.7554}, + Keywords = {18N10,16D90,20F55}, + zbMATH = {7083343}, + Zbl = {1472.18019} +} + +@Article{mackaay21:finit, + Author = {Mackaay, Marco and Mazorchuk, Volodymyr and Miemietz, Vanessa and Tubbenhauer, Daniel and Zhang, Xiaoting}, + Title = {Finitary birepresentations of finitary bicategories}, + FJournal = {Forum Mathematicum}, + Journal = {Forum Math.}, + ISSN = {0933-7741}, + Volume = {33}, + Number = {5}, + Pages = {1261--1320}, + Year = {2021}, + Language = {English}, + DOI = {10.1515/forum-2021-0021}, + Keywords = {18N10,18E05}, + URL = {ueaeprints.uea.ac.uk/id/eprint/80378/1/Accepted_Manuscript.pdf}, + zbMATH = {7502420}, + Zbl = {1493.18021} +} + +@Article{mackaay23:simpl-soerg-coxet, + Author = {Mackaay, Marco and Mazorchuk, Volodymyr and Miemietz, Vanessa and Tubbenhauer, Daniel and Zhang, Xiaoting}, + Title = {Simple transitive 2-representations of {Soergel} bimodules for finite {Coxeter} types}, + FJournal = {Proceedings of the London Mathematical Society. Third Series}, + Journal = {Proc. Lond. Math. Soc. (3)}, + ISSN = {0024-6115}, + Volume = {126}, + Number = {5}, + Pages = {1585--1655}, + Year = {2023}, + Language = {English}, + DOI = {10.1112/plms.12515}, + Keywords = {18N10,18D25,16D20,18A50,18N25,20C08}, + zbMATH = {7740457}, + Zbl = {1522.18033} +} + +@Book{mac92:sheav, + Author = {Mac Lane, Saunders and Moerdijk, Ieke}, + Title = {Sheaves in geometry and logic: a first introduction to topos theory}, + FSeries = {Universitext}, + Series = {Universitext}, + ISSN = {0172-5939}, + ISBN = {0-387-97710-4}, + Year = {1992}, + Publisher = {New York etc.: Springer-Verlag}, + Language = {English}, + Keywords = {18-01,03-01,18B25,03G30,18-02,03-02,03E99,14F20,18F20,54B40}, + zbMATH = {53911}, + Zbl = {0822.18001} +} + +@Article{ostrik03:modul-hopf, + Author = {Ostrik, Viktor}, + Title = {Module categories, weak {Hopf} algebras and modular invariants}, + FJournal = {Transformation Groups}, + Journal = {Transform. Groups}, + ISSN = {1083-4362}, + Volume = {8}, + Number = {2}, + Pages = {177--206}, + Year = {2003}, + Language = {English}, + DOI = {10.1007/s00031-003-0515-6}, + Keywords = {18D10,16W30,17B10}, + zbMATH = {1960715}, + Zbl = {1044.18004} +} + +@Misc{pare69:absol, + Author = {Par{\'e}, Robert}, + Title = {Absolute coequalizers}, + Year = {1969}, + Language = {English}, + HowPublished = {Category {Theory} {Homology} {Theory} {Appl}., {Proc}. {Conf}. {Seattle} {Res}. {Center} {Battelle} {Mem}. {Inst}. 1968, {Vol}. 1, {Lect}. {Notes} {Math}. 86, 132-145 (1969).}, + Keywords = {18C15}, + zbMATH = {3411257}, + Zbl = {0261.18007} +} + +@Book{positselski10:homol, + Author = {Positselski, Leonid}, + Title = {Homological algebra of semimodules and semicontramodules. {Semi}-infinite homological algebra of associative algebraic structures. {Appendix} {C} in collaboration with {Dmitriy} {Rumynin}. {Appendix} {D} in collaboration with {Sergey} {Arkhipov}.}, + FSeries = {Monografie Matematyczne. Instytut Matematyczny PAN. New Series}, + Series = {Monogr. Mat., Inst. Mat. PAN, N.S.}, + ISSN = {0077-0507}, + Volume = {70}, + ISBN = {978-3-0346-0435-2; 978-3-0346-0436-9}, + Year = {2010}, + Publisher = {Basel: Birkh{\"a}user}, + Language = {English}, + DOI = {10.1007/978-3-0346-0436-9}, + Keywords = {18-02,16B50,16E30,16E35,16E40,16D90,17B55,17B56,16T15,18G99,16-02}, + zbMATH = {5662351}, + Zbl = {1202.18001} +} + +@Article{power89, + Author = {Power, A. J.}, + Title = {A general coherence result}, + FJournal = {Journal of Pure and Applied Algebra}, + Journal = {J. Pure Appl. Algebra}, + ISSN = {0022-4049}, + Volume = {57}, + Number = {2}, + Pages = {165--173}, + Year = {1989}, + Language = {English}, + DOI = {10.1016/0022-4049(89)90113-8}, + Keywords = {18D05,18C15}, + zbMATH = {4093719}, + Zbl = {0668.18010} +} + +@Article{schaeppi14:ind, + Author = {Sch{\"a}ppi, Daniel}, + Title = {Ind-abelian categories and quasi-coherent sheaves}, + FJournal = {Mathematical Proceedings of the Cambridge Philosophical Society}, + Journal = {Math. Proc. Camb. Philos. Soc.}, + ISSN = {0305-0041}, + Volume = {157}, + Number = {3}, + Pages = {391--423}, + Year = {2014}, + Language = {English}, + DOI = {10.1017/S0305004114000401}, + Keywords = {18E10,18D10,18F20}, + zbMATH = {6399685}, + Zbl = {1305.18043} +} + +@InCollection{selinger11, + Author = {Selinger, P.}, + Title = {A survey of graphical languages for monoidal categories}, + BookTitle = {New structures for physics}, + ISBN = {978-3-642-12820-2; 978-3-642-12821-9}, + Pages = {289--355}, + Year = {2011}, + Publisher = {Berlin: Springer}, + Language = {English}, + DOI = {10.1007/978-3-642-12821-9_4}, + Keywords = {18-01,18D10}, + zbMATH = {5901475}, + Zbl = {1217.18002} +} + +@Article{street05:enric, + Author = {Street, Ross}, + Title = {Enriched categories and cohomology}, + FJournal = {Reprints in Theory and Applications of Categories}, + Journal = {Repr. Theory Appl. Categ.}, + Volume = {2005}, + Number = {14}, + Pages = {1--18}, + Year = {2005}, + Language = {English}, + Keywords = {18D20,18D30}, + URL = {www.tac.mta.ca/tac/reprints/articles/14/tr14abs.html}, + zbMATH = {2242855}, + Zbl = {1085.18010} +} + +@Article{street83:enric, + Author = {Street, Ross}, + Title = {Enriched categories and cohomology}, + FJournal = {Quaestiones Mathematicae}, + Journal = {Quaest. Math.}, + ISSN = {1607-3606}, + Volume = {6}, + Pages = {265--283}, + Year = {1983}, + Language = {English}, + DOI = {10.1080/16073606.1983.9632304}, + Keywords = {18D20,18G50,18D30,18D15,18F20,18B25,18D05}, + zbMATH = {3828124}, + Zbl = {0523.18007} +} + +@Article{stroiński24:ident, + author = {Stroiński, Mateusz}, + journal = {arXiv e-prints}, + title = {{I}dentity in the presence of adjunction}, + year = {2024}, + eprint = {2401.09892}, + eprintclass = {math.CT}, + eprinttype = {arXiv}, + keywords = {math.CT, math.QA, math.RT}, +} + +@Article{stroinski23:weigh, + Author = {Stroi{\'n}ski, Mateusz}, + Title = {Weighted colimits of 2-representations and star algebras}, + FJournal = {Applied Categorical Structures}, + Journal = {Appl. Categ. Struct.}, + ISSN = {0927-2852}, + Volume = {31}, + Number = {4}, + Pages = {33}, + Note = {Id/No 29}, + Year = {2023}, + Language = {English}, + DOI = {10.1007/s10485-023-09737-w}, + Keywords = {18N10,18N25}, + zbMATH = {7725391}, + Zbl = {1527.18021} +} + +@Article{takeuchi77:morit, + Author = {Takeuchi, Mitsuhiro}, + Title = {Morita theorems for categories of comodules}, + FJournal = {Journal of the Faculty of Science. Section I A}, + Journal = {J. Fac. Sci., Univ. Tokyo, Sect. I A}, + ISSN = {0040-8980}, + Volume = {24}, + Pages = {629--644}, + Year = {1977}, + Language = {English}, + Keywords = {18E10,18G05,16Gxx,18F25,16W30}, + zbMATH = {3598617}, + Zbl = {0385.18007} +} + +@Article{wischnewsky75, + Author = {Wischnewsky, Manfred B.}, + Title = {On linear representations of affine groups. {I}}, + FJournal = {Pacific Journal of Mathematics}, + Journal = {Pac. J. Math.}, + ISSN = {1945-5844}, + Volume = {61}, + Pages = {551--572}, + Year = {1975}, + Language = {English}, + DOI = {10.2140/pjm.1975.61.551}, + Keywords = {18E10,20G05,16W30,16Gxx}, + zbMATH = {3506937}, + Zbl = {0324.18006} +} + +@Article{zoeberlein76:doctr, + Author = {Z{\"o}berlein, Volker}, + Title = {Doctrines on 2-categories}, + FJournal = {Mathematische Zeitschrift}, + Journal = {Math. Z.}, + ISSN = {0025-5874}, + Volume = {148}, + Pages = {267--279}, + Year = {1976}, + Language = {English}, + DOI = {10.1007/BF01214522}, + Keywords = {18D05,18C15}, + zbMATH = {3486021}, + Zbl = {0311.18005} +} + +@Article{yetter90:quant, + Author = {Yetter, David N.}, + Title = {Quantum groups and representations of monoidal categories}, + FJournal = {Mathematical Proceedings of the Cambridge Philosophical Society}, + Journal = {Math. Proc. Camb. Philos. Soc.}, + ISSN = {0305-0041}, + Volume = {108}, + Number = {2}, + Pages = {261--290}, + Year = {1990}, + Language = {English}, + DOI = {10.1017/S0305004100069139}, + Keywords = {17B37,16W30,57Q45,81R50,18D10}, + zbMATH = {4171177}, + Zbl = {0712.17014} +} + +@InCollection{baez11:physic, + Author = {Baez, John C. and Stay, Mike}, + Title = {Physics, topology, logic and computation: a {Rosetta} {Stone}}, + BookTitle = {New structures for physics}, + ISBN = {978-3-642-12820-2; 978-3-642-12821-9}, + Pages = {95--172}, + Year = {2011}, + Publisher = {Berlin: Springer}, + Language = {English}, + DOI = {10.1007/978-3-642-12821-9_2}, + Keywords = {81P05,81T45,81P45,81P68,03G30,18D15}, + zbMATH = {5901473}, + Zbl = {1218.81008} +} + +@Article{sun23:notes, + author = {Sun, Hua and Chen, Hui-Xiang and Zhang, Yinhuo}, + journal = {arXiv e-prints}, + title = {{N}otes on semisimple tensor categories of rank two}, + year = {2023}, + eprint = {2312.06943}, + eprintclass = {math.CT}, + eprinttype = {arXiv}, + keywords = {math.CT}, +} + +@Article{stroiński24:ident, + author = {Stroiński, Mateusz}, + journal = {arXiv e-prints}, + title = {{I}dentity in the presence of adjunction}, + year = {2024}, + eprint = {2401.09892}, + eprintclass = {math.CT}, + eprinttype = {arXiv}, + keywords = {math.CT, math.QA, math.RT}, +} + +@Article{larson69:hopf, + Author = {Larson, R. G. and Sweedler, M. E.}, + Title = {An associative orthogonal bilinear form for {Hopf} algebras}, + FJournal = {American Journal of Mathematics}, + Journal = {Am. J. Math.}, + ISSN = {0002-9327}, + Volume = {91}, + Pages = {75--94}, + Year = {1969}, + Language = {English}, + DOI = {10.2307/2373270}, + Keywords = {16W30}, + zbMATH = {3286139}, + Zbl = {0179.05803} +} + +@Article{hausser99:integ-theor-quasi-hopf-algeb, + author = {Hausser, Frank and Nill, Florian}, + journal = {arXiv e-prints}, + title = {{I}ntegral {T}heory for {Q}uasi-{H}opf {A}lgebras}, + year = {1999}, + eprint = {math/9904164}, + eprintclass = {math.QA}, + eprinttype = {arXiv}, + keywords = {math.QA}, +} + +@Article{saracco17:hopf, + Author = {Saracco, Paolo}, + Title = {On the structure theorem for quasi-{Hopf} bimodules}, + FJournal = {Applied Categorical Structures}, + Journal = {Appl. Categ. Struct.}, + ISSN = {0927-2852}, + Volume = {25}, + Number = {1}, + Pages = {3--28}, + Year = {2017}, + Language = {English}, + DOI = {10.1007/s10485-015-9408-9}, + Keywords = {16T10,16T05}, + zbMATH = {6692918}, + Zbl = {1359.16033} +} + +@Misc{kelly72:many, + Author = {Kelly, G. M.}, + Title = {Many-variable functorial calculus. {I}}, + Year = {1972}, + Language = {English}, + HowPublished = {Coherence in {Categories}, {Lect}. {Notes} {Math}. 281, 66-105 (1972).}, + Keywords = {18D99,18A15,18C99}, + zbMATH = {3384257}, + Zbl = {0243.18015} +} + +@Book{montgomery93:hopf, + Author = {Montgomery, Susan}, + Title = {Hopf algebras and their actions on rings. {Expanded} version of ten lectures given at the {CBMS} {Conference} on {Hopf} algebras and their actions on rings, which took place at {DePaul} {University} in {Chicago}, {USA}, {August} 10-14, 1992}, + FSeries = {Regional Conference Series in Mathematics}, + Series = {Reg. Conf. Ser. Math.}, + ISSN = {0160-7642}, + Volume = {82}, + ISBN = {0-8218-0738-2}, + Year = {1993}, + Publisher = {Providence, RI: American Mathematical Society}, + Language = {English}, + Keywords = {16W30,16S40,16-02}, + zbMATH = {482792}, + Zbl = {0793.16029} +} + +@Article{yetter03:abelian, + Author = {Yetter, D. N.}, + Title = {Abelian categories of modules over a (lax) monoidal functor}, + FJournal = {Advances in Mathematics}, + Journal = {Adv. Math.}, + ISSN = {0001-8708}, + Volume = {174}, + Number = {2}, + Pages = {266--309}, + Year = {2003}, + Language = {English}, + DOI = {10.1016/S0001-8708(02)00041-5}, + Keywords = {18D10,16S80,18E25,16D90}, + zbMATH = {1903518}, + Zbl = {1017.18006} +} + +@Article{batista22, + author = {Batista, Eliezer and Hautekiet, William and Vercruysse, Joost}, + journal = {arXiv e-prints}, + title = {{A} comonadicity theorem for partial comodules}, + year = {2022}, + eprint = {2205.08596}, + eprintclass = {math.RA}, + eprinttype = {arXiv}, + keywords = {math.RA, math.CT, math.QA, math.RT, Primary 16T05, 16T15, 18C20, Secondary 16S40, 20G05, 20G42}, +} + +@Article{fuchs22:spher-morit-serre, + author = {Fuchs, Jürgen and Galindo, César and Jaklitsch, David and Schweigert, Christoph}, + journal = {arXiv e-prints}, + title = {{S}pherical {M}orita contexts and relative {S}erre functors}, + year = {2022}, + eprint = {2207.07031}, + eprintclass = {math.QA}, + eprinttype = {arXiv}, + keywords = {math.QA, math.CT, math.RT}, +} + +@Article{Moerdijk2002, + author = {Moerdijk, Ieke}, + journal = {J. Pure Appl. Algebra}, + title = {Monads on tensor categories}, + year = {2002}, + issn = {0022-4049}, + note = {Category theory 1999 (Coimbra)}, + number = {2-3}, + pages = {189--208}, + volume = {168}, + doi = {10.1016/S0022-4049(01)00096-2}, + fjournal = {Journal of Pure and Applied Algebra}, + mrclass = {18D10}, + mrnumber = {1887157}, + mrreviewer = {Kimmo I. Rosenthal}, + url = {https://doi.org/10.1016/S0022-4049(01)00096-2}, +} + +@Article{ostrik04:tensor-p, + author = {Ostrik, Victor}, + journal = {arXiv e-prints}, + title = {{T}ensor categories (after {P}. {D}eligne)}, + year = {2004}, + eprint = {math/0401347}, + eprintclass = {math.CT}, + eprinttype = {arXiv}, + keywords = {math.CT, math.RT}, +} + +@Article{Bruguieres2011, + author = {Brugui\`eres, Alain and Lack, Steve and Virelizier, Alexis}, + journal = {Advances in Mathematics}, + title = {Hopf monads on monoidal categories}, + year = {2011}, + issn = {0001-8708}, + number = {2}, + pages = {745--800}, + volume = {227}, + doi = {10.1016/j.aim.2011.02.008}, + keywords = {18C20 (16T05 18D10 18D15)}, + mrnumber = {2793022}, +} + +@Article{stroinski24:modul-tambar, + Author = {Stroi{\'n}ski, Mateusz}, + Title = {Module categories, internal bimodules, and {Tambara} modules}, + FJournal = {Proceedings of the London Mathematical Society. Third Series}, + Journal = {Proc. Lond. Math. Soc. (3)}, + ISSN = {0024-6115}, + Volume = {128}, + Number = {5}, + Pages = {84}, + Note = {Id/No e12596}, + Year = {2024}, + Language = {English}, + DOI = {10.1112/plms.12596}, + Keywords = {18N10,18N25,18M10,18M20}, + zbMATH = {7862383} +} + +@Article{ben-zvi18:integ, + Author = {Ben-zvi, David and Brochier, Adrien and Jordan, David}, + Title = {Integrating quantum groups over surfaces}, + FJournal = {Journal of Topology}, + Journal = {J. Topol.}, + ISSN = {1753-8416}, + Volume = {11}, + Number = {4}, + Pages = {874--917}, + Year = {2018}, + Language = {English}, + DOI = {10.1112/topo.12072}, + Keywords = {14D24,16T25,57R56,18D10,57T05}, + zbMATH = {7015299}, + Zbl = {1409.14028} +} diff --git a/docs/ferrara2024.html b/docs/ferrara2024.html new file mode 100644 index 0000000..5e61caf --- /dev/null +++ b/docs/ferrara2024.html @@ -0,0 +1,172 @@ + + + + + + + + + Lax module functors, reconstruction, and Hopf algebras + + + + + + + + + + + + + + + + +
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Lax module functors, reconstruction, and Hopf algebras

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+ Click on the preview image for a full-scale version. +
+

+ +A preview of the poster + +
+

+The poster is based on the article [StZo]; +a repository with the full source code is available here.
In the unlikely case that ever goes away before this website does, +a tarball is also available.
+ +

+ +

References§

+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+
[BrLaVi11]
+
Alain Bruguières and Steve Lack and Alexis Virelizier: Hopf monads on monoidal categories. In: Advances in Mathematics vol. 227 (2011), Nr. 2, pages 745–800
+
[Deli02]
+
P. Deligne: Catégories tensorielles. (Tensor categories). In: Mosc. Math. J. vol. 2 (2002), Nr. 2, pages 227–248
+
[HaNi99]
+
Frank Hausser and Florian Nill: Integral Theory for Quasi-Hopf Algebras. In: arXiv e-prints (1999)
+
[HaZo24]
+
Sebastian Halbig and Tony Zorman: Diagrammatics for Comodule Monads. In: Applied Categorical Structures, to appear (2024)
+
[Moer02]
+
Ieke Moerdijk: Monads on tensor categories. In: J. Pure Appl. Algebra vol. 168 (2002), Nr. 2-3, pages 189–208. — Category theory 1999 (Coimbra)
+
[Ostr03]
+
Viktor Ostrik: Module categories, weak Hopf algebras and modular invariants. In: Transform. Groups vol. 8 (2003), Nr. 2, pages 177–206
+
[Ostr04]
+
Victor Ostrik: Tensor categories (after P. Deligne). In: arXiv e-prints (2004)
+
[Sara17]
+
Paolo Saracco: On the structure theorem for quasi-Hopf bimodules. In: Appl. Categ. Struct. vol. 25 (2017), Nr. 1, pages 3–28
+
[StZo]
+
Mateusz Stroiński and Tony Zorman: Reconstruction of module categories in the infinite and non-rigid settings, Forthcoming.
+
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+ +
+ + +
+ +
+
+ + diff --git a/docs/posters/ferrara2024/poster.pdf b/docs/posters/ferrara2024/poster.pdf new file mode 100644 index 0000000..b167ddd Binary files /dev/null and b/docs/posters/ferrara2024/poster.pdf differ diff --git a/docs/posters/ferrara2024/poster.png b/docs/posters/ferrara2024/poster.png new file mode 100644 index 0000000..0f543d7 Binary files /dev/null and b/docs/posters/ferrara2024/poster.png differ diff --git a/docs/posters/ferrara2024/source.tar.gz b/docs/posters/ferrara2024/source.tar.gz new file mode 100644 index 0000000..93850a1 Binary files /dev/null and b/docs/posters/ferrara2024/source.tar.gz differ diff --git a/docs/research.html b/docs/research.html index 18c1dda..4742061 100644 --- a/docs/research.html +++ b/docs/research.html @@ -279,6 +279,16 @@

Posters§

  • +Lax module functors, reconstruction, and Hopf algebras
    +2024-09-02, Hopf Algebras and Monoidal Categories, Ferrara;
    +pdf +and +accompanying website; +

    + +Based on joint work with Mateusz Stroiński, [StZo].
    • +

  • + Pivotality, Twisted Centres, and the Anti-Double of a Hopf Monad
    2024-06-27, CT24, Santiago de Compostela; pdf diff --git a/posters/ferrara2024/ferrara2024.md b/posters/ferrara2024/ferrara2024.md new file mode 100644 index 0000000..ffb468c --- /dev/null +++ b/posters/ferrara2024/ferrara2024.md @@ -0,0 +1,39 @@ +--- +title: Lax module functors, reconstruction, and Hopf algebras +bib: true +no-toc: true +no-comment: true +--- + +Click on the preview image for a full-scale version. +
    + + A preview of the poster + +
    + +The poster is based on the article [@stroinski2024:reconstr]; +a repository with the full source code is available [here][ghub:source-code].[^1] + + + + + [@kelly74] + [@hausser99:integ-theor-quasi-hopf-algeb] + [@Moerdijk2002] + [@deligne02:categ] + [@ostrik03:modul-hopf] + [@ostrik04:tensor-p] + [@Bruguieres2011] + [@saracco17:hopf] + [@halbig23:diagr-comod-monad] + + + +[ghub:source-code]: https://github.com/slotThe/ferrara2024 + +[^1]: In the unlikely case that ever goes away before this website does, + [a tarball](./posters/ferrara2024/source.tar.gz) is also available. diff --git a/posters/ferrara2024/poster.pdf b/posters/ferrara2024/poster.pdf new file mode 100644 index 0000000..b167ddd Binary files /dev/null and b/posters/ferrara2024/poster.pdf differ diff --git a/posters/ferrara2024/poster.png b/posters/ferrara2024/poster.png new file mode 100644 index 0000000..0f543d7 Binary files /dev/null and b/posters/ferrara2024/poster.png differ diff --git a/posters/ferrara2024/source.tar.gz b/posters/ferrara2024/source.tar.gz new file mode 100644 index 0000000..93850a1 Binary files /dev/null and b/posters/ferrara2024/source.tar.gz differ diff --git a/research.md b/research.md index 2679f81..c4d6ff7 100644 --- a/research.md +++ b/research.md @@ -160,6 +160,14 @@ All of my papers are readily available on the [arXiv].[^2] # Posters +- *Lax module functors, reconstruction, and Hopf algebras* \ + 2024-09-02, Hopf Algebras and Monoidal Categories, Ferrara; \ + [PDF](./posters/ferrara2024/poster.pdf) + and + [accompanying website](./ferrara2024.html); + + Based on joint work with Mateusz Stroiński, [@stroinski2024:reconstr]. + - *Pivotality, Twisted Centres, and the Anti-Double of a Hopf Monad* \ 2024-06-27, CT24, Santiago de Compostela; [PDF](./posters/ct2024/poster.pdf) diff --git a/src/site.hs b/src/site.hs index f16ee27..35640c1 100644 --- a/src/site.hs +++ b/src/site.hs @@ -154,6 +154,10 @@ standalones tagCtx = do compile copyFileCompiler mkStandalone "posters/ct2024/ct2024.md" pure tagCtx (Just "ct2024.html") --- Ferrara 2024 + match (posterGlob "ferrara2024") do + route idRoute + compile copyFileCompiler + mkStandalone "posters/ferrara2024/ferrara2024.md" pure tagCtx (Just "ferrara2024.html") -- Git introduction let gitCtx title = constField "title" title <> tagCtx fixTranscript = withItemBody $ pure . -- I know…