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arxiv: 1509.06811 · v1 · pith:4XW44BIZnew · submitted 2015-09-22 · 🧮 math.AT · math.CT· math.GT· math.QA· math.RT

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

Bruce Bartlett , Christopher L. Douglas , Christopher J. Schommer-Pries , Jamie Vicary This is my paper
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 2 Pith papers

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