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arxiv: 1509.06811 · v1 · submitted 2015-09-22 · 🧮 math.AT · math.CT· math.GT· math.QA· math.RT

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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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classification 🧮 math.AT math.CTmath.GTmath.QAmath.RT
keywords categoriescategorydimensionalmodularanomalousbijectionbordismcanonical
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Finite Pre-Tensor Categories that are Morita Equivalent to Finite Tensor Categories

    math.QA 2026-04 unverdicted novelty 7.0

    A finite pre-tensor category is Morita equivalent to a finite tensor category if and only if its Drinfeld center is a finite tensor category.