The diffeomorphism group of the solid closed torus and Hochschild homology

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  • Lukas Muller
  • Lukas Woike
We prove that for a self-injective ribbon Grothendieck-Verdier
category C in the sense of Boyarchenko-Drinfeld the cyclic action on the
Hochschild complex of C extends to an action of the diffeomorphism group
of the solid closed torus S1 × D2.
OriginalsprogEngelsk
TidsskriftProceedings of the American Mathematical Society
Vol/bind151
Udgave nummer6
Sider (fra-til)2311-2324
Antal sider14
ISSN0002-9939
DOI
StatusUdgivet - 2023

Bibliografisk note

Funding Information:
Received by the editors January 25, 2022, and, in revised form, May 3, 2022, and May 6, 2022. 2020 Mathematics Subject Classification. Primary 13D03, 18M15; Secondary 57K20. The first author was supported by the Max Planck Institute for Mathematics in Bonn. The second author was supported by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151) and by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 772960).

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c 2023 American Mathematical Society.

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