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.

71 pages

References in corpus (4)

• Quasistrict symmetric monoidal 2-categories via wire diagrams
• On dualizable objects in monoidal bicategories, framed surfaces and the Cobordism Hypothesis
• Extended 3-dimensional bordism as the theory of modular objects
• Modular functors are determined by their genus zero data

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