Fusion 2-categories and a state-sum invariant for 4-manifolds

Abstract

We introduce semisimple 2-categories, fusion 2-categories, and spherical fusion 2-categories. For each spherical fusion 2-category, we construct a state-sum invariant of oriented singular piecewise-linear 4-manifolds.

Cited by in corpus (4)

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• Gravitational Solitons and Completeness
• (3+1)D topological orders with only a ${\mathbb{Z}}_2$-charged particle
• A universal state sum