• 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}
}
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 $\mathbb{S}^1 \times \mathbb{D}^2$. 
View PDF on arXiv
1 Citations

One Citation

A Classification of Modular Functors via Factorization Homology

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…