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Journal Articles Comptes Rendus, Mathématique Year : 2022

On the Hochschild homology of singularity categories

Umamaheswaran Arunachalam
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Abstract

Let k be an algebraically closed field and A a finite-dimensional k-algebra. In this note, we determine complexes which compute the Hochschild homology of the canonical dg enhancement of the bounded derived category of A and of the canonical dg enhancement of the singularity category of A. As an application, we obtain a new approach to the computation of Hochschild homology of Leavitt path algebras.
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Dates and versions

hal-03892730 , version 1 (22-01-2023)

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  • HAL Id : hal-03892730 , version 1

Cite

Yu Wang, Umamaheswaran Arunachalam, Bernhard Keller. On the Hochschild homology of singularity categories. Comptes Rendus, Mathématique, 2022. ⟨hal-03892730⟩
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