Journal article

Modular categories as representations of the 3-dimensional bordism 2-category

Abstract:: We show that once-extended anomalous 3-dimensional topological quantum field theories valued in the 2-category of k-linear categories are in canonical bijection with modular tensor categories equipped with a square root of the global dimension in each factor.

Publication status:: Submitted

Peer review status:: Not peer reviewed

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APA Style

Bartlett, B., Douglas, C., Schommer-Pries, C., & Vicary, J. (2015). Modular categories as representations of the 3-dimensional bordism 2-category. ArXiv, 1–71.

MLA Style

Bartlett, B, et al. “Modular Categories as Representations of the 3-Dimensional Bordism 2-Category.” ArXiv, 2015, pp. 1–71.

Chicago Style

Bartlett, B, C Douglas, C Schommer-Pries, and J Vicary. 2015. “Modular Categories as Representations of the 3-Dimensional Bordism 2-Category.” ArXiv, 1–71.
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Files:: 111-IV.pdf

(Preview, Accepted manuscript, pdf, 911.8KB, Terms of use)

Authors

+ Bartlett, B More by this author

Role:: Author

+ Douglas, C More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Schommer-Pries, C More by this author

Role:: Author

+ Vicary, J More by this author

Role:: Author

Publisher:: arXiv
Journal:: arXiv More from this journal
Pages:: 1-71
Publication date:: 2015-09-22
Acceptance date:: 2015-01-01

Keywords:: Representation Theory (math.RT)

Quantum Algebra (math.QA)

Category Theory (math.CT)

Geometric Topology (math.GT)

Algebraic Topology (math.AT)

SBTMR
Pubs id:: pubs:821738
UUID:: uuid:4402117d-b3d2-4ed0-8d13-d34f708175fe
Local pid:: pubs:821738
Source identifiers:: 821738
Deposit date:: 2018-05-01
ARK identifier:: ark:/29072/ora_4402117db3d24ed08d13d34f708175fe

Terms of use

Copyright date:: 2015

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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