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math.QA2021
The differential graded Verlinde Formula and the Deligne Conjecture
Christoph Schweigert, Lukas Woike
A modular category gives rise to a differential graded modular functor, i.e. a system of projective mapping class group representations on chain complexes. This diffe…
math.QA2021
The Trace Field Theory of a Finite Tensor Category
Christoph Schweigert, Lukas Woike
Given a finite tensor category , we prove that a modified trace on the tensor ideal of projective objects can be obtained from a suitable trivialization of the Nakayam…