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

Published 31 Dec 2018 in math.QA, math.AT, and math.GT | (1812.11933v1)

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.

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