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

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arxiv 1812.11933 v1 pith:M2Z37GQI submitted 2018-12-31 math.QA math.ATmath.GT

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

Christopher L. Douglas , David J. Reutter This is my paper
classification math.QA math.ATmath.GT
keywords categoriesfusioninvariantmanifoldssphericalstate-sumcategoryconstruct
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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.

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Cited by 5 Pith papers

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  2. Symmetry breaking phases and transitions in an Ising fusion category lattice model

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  4. What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

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  5. ICTP Lectures on (Non-)Invertible Generalized Symmetries

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