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arXiv · 1509.06811

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

Bruce Bartlett·Christopher L. Douglas·Christopher J. Schommer-Pries·Jamie Vicary
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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.

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Bruce Bartlett, Christopher L. Douglas, Christopher J. Schommer-Pries, Jamie Vicary. 2015-09-22. Modular categories as representations of the 3-dimensional bordism 2-category. https://arxiv.org/abs/1509.06811

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