Cohomology of exact categories and (non-)additive sheaves

2011/02/28 by Dmitry Kaledin, Wendy Lowen, Kaledin, Dmitry +1 · 1 citation
Mathematics · #16E40 #18E10 #18F20 #FOS: Mathematics #K-Theory and Homology (math.KT) #math.KT #msc:16E40 #msc:18E10 #msc:18F20

paper · pdf · doi:10.48550/arxiv.1102.5756

27 pages

arxiv created 2011/04/16 · arxiv updated 2011/04/19

Abstract

We use (non-)additive sheaves to introduce an (absolute) notion of Hochschild cohomology for exact categories as Ext's in a suitable bisheaf category. We compare our approach to various definitions present in the literature.

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