The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology

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 ${\mathbb{S}}^1\times {\mathbb{D}}^2$.

arXiv commentv1: 12 pages; v2: minor changes