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The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology
Published 11 Jan 2022 in math.AT, math.QA, math.RA, and math.RT | (2201.03920v2)
Abstract: We prove that for a self-injective ribbon Grothendieck-Verdier category $\mathcal{C}$ in the sense of Boyarchenko-Drinfeld the cyclic action on the Hochschild complex of $\mathcal{C}$ extends to an action of the diffeomorphism group of the solid closed torus $\mathbb{S}1 \times \mathbb{D}2$.
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