• Corpus ID: 245853695

The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology

@inproceedings{Muller2022TheDG,
title={The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology},
author={Lukas Muller and Lukas Woike},
year={2022}
}
• Published 11 January 2022
• Mathematics
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 $\mathbb{S}^1 \times \mathbb{D}^2$.
1 Citations
• Mathematics
• 2022
Modular functors are traditionally deﬁned as systems of projective representations of mapping class groups of surfaces that are compatible with gluing. They can formally be described as modular