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reference.bib
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@misc{barenz/evaluation-crane-yetter,
title = {Evaluating TQFT invariants from G-crossed braided spherical fusion categories via Kirby diagrams with 3-handles},
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year = 2021,
eprint = {1810.05833},
archiveprefix = {arXiv},
primaryclass = {math.GT}
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@article{barrett/observables-in-tv-and-cy,
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archiveprefix = {arXiv},
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archiveprefix = {arXiv},
primaryclass = {math.QA}
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@article{guu/higher-genera-center,
title = {Categorical Center of Higher Genera and 4D Factorization Homology},
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archiveprefix = {arXiv},
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title = {Foam evaluation and Kronheimer--Mrowka theories},
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title = {Turaev-Viro invariants as an extended TQFT},
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eprint = {1004.1533},
archiveprefix = {arXiv},
primaryclass = {math.GT}
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title = {String-net model of Turaev-Viro invariants},
author = {Alexander Kirillov},
year = 2011,
eprint = {1106.6033},
archiveprefix = {arXiv},
primaryclass = {math.AT}
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title = {Semisimple 4-dimensional topological field theories cannot detect exotic smooth structure},
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title = {On the Category of Boundary Values in the Extended Crane-Yetter TQFT},
author = {Ying Hong Tham},
year = 2021,
eprint = {2108.13467},
archiveprefix = {arXiv},
primaryclass = {math.QA},
type = {Ph.D. thesis}
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@article{turaev/topology-of-shadows,
%this article doesn't seem to be published.
%use shadow links and face models of stats mech instead.
author = {Vladimir G. Turaev},
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publisher = {Preprint},
%info taken from turaev's book
title = {Topology of Shadows}
}
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author = {Vladimir G. Turaev},
title = {{Shadow links and face models of statistical mechanics}},
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@misc{viro/private,
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}
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title = {(3+1)-TQFTs and topological insulators},
author = {Walker, Kevin and Wang, Zhenghan},
year = 2012,
journal = {Frontiers of Physics},
doi = {10.1007/s11467-011-0194-z},
url = {https://doi.org/10.1007/s11467-011-0194-z},
abstract = {Levin-Wen models are microscopic spin models for topological phases of matter in (2+1)-dimension. We introduce a generalization of such models to (3 + 1)-dimension based on unitary braided fusion categories, also known as unitary premodular categories. We discuss the ground state degeneracy on 3-manifolds and statistics of excitations which include both points and defect loops. Potential connections with recently proposed fractional topological insulators and projective ribbon permutation statistics are described.}
}
@misc{walker/universal-state-sum,
title = {A universal state sum},
author = {Kevin Walker},
year = 2021,
eprint = {2104.02101},
archiveprefix = {arXiv},
primaryclass = {math.QA}
}
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title = {Symmetry fractionalization, defects, and gauging of topological phases},
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volume = 100,
pages = 115147,
doi = {10.1103/PhysRevB.100.115147},
url = {https://link.aps.org/doi/10.1103/PhysRevB.100.115147},
issue = 11,
numpages = 99
}
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title = {The Reduced Tensor Product of Braided Tensor Categories Containing a Symmetric Fusion Category},
author = {Thomas A. Wasserman},
year = 2019,
eprint = {1910.13562},
archiveprefix = {arXiv},
primaryclass = {math.QA}
}
@misc{baez/private,
author = {John Baez},
howpublished = {private conversation}
}
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@misc{mathoverflow/89498,
title = {How are the Walker-Wang TQFT and the Crane-Yetter TQFT related?},
author = {Jorgen Ellegaard Andersen},
year = 2012,
month = 2,
url = {https://mathoverflow.net/q/89498},
title = {.. the two standard approaches to quantizing Chern-Simons theory are equivalent?}
}