Modular categories as representations of the 3-dimensional bordism 2-category
Algebraic Topology
2015-09-24 v1 Category Theory
Geometric Topology
Quantum Algebra
Representation Theory
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.
Keywords
Cite
@article{arxiv.1509.06811,
title = {Modular categories as representations of the 3-dimensional bordism 2-category},
author = {Bruce Bartlett and Christopher L. Douglas and Christopher J. Schommer-Pries and Jamie Vicary},
journal= {arXiv preprint arXiv:1509.06811},
year = {2015}
}
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71 pages