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math.QA2022
The distinguished invertible object as ribbon dualizing object in the Drinfeld center
Lukas Müller, Lukas Woike
We prove that the Drinfeld center of a pivotal finite tensor category comes with the structure of a ribbon Grothendieck-Verdier category in the sense…
math.QA2022★ 2 cited
Classification of Consistent Systems of Handlebody Group Representations
Lukas Müller, Lukas Woike
The classifying spaces of handlebody groups form a modular operad. Algebras over the handlebody operad yield systems of representations of handlebody groups that are compatible wit…
math.AT2022★ 1 cited
The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology
Lukas Müller, Lukas Woike
We prove that for a self-injective ribbon Grothendieck-Verdier category in the sense of Boyarchenko-Drinfeld the cyclic action on the Hochschild complex of $\mathcal{…