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Article

Cohomology of exact categories and (non-)additive sheaves

Advances in Mathematics. 2015. Vol. 272. P. 652-698.
Kaledin D. B., Lowen W.

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.