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Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions

Estanislao Herscovich·Andrea Solotar
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Abstract

In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to $k$-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions. We also prove the existence of a Happel long exact sequence and we give a generalization of this result which provides an alternative approach.

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Estanislao Herscovich, Andrea Solotar. 2006-08-17. Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions. https://arxiv.org/abs/math/0608444

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