Cohomology of exact categories and (non-)additive sheaves

被引：9

作者：

Kaledin, Dmitry ^{[1
,2
]}

Lowen, Wendy ^{[3
]}

机构：

[1] NRU HSE, Steklov Math Inst, Algebra Geometry Sect, Moscow, Russia

[2] NRU HSE, Lab Algebra Geometry, Moscow, Russia

[3] Dept Wiskunde Informat, B-2020 Antwerp, Belgium

来源：

ADVANCES IN MATHEMATICS | 2015年 / 272卷

基金：

俄罗斯科学基金会;

关键词：

Hochschild cohomology; Non-additive sheaves; ABELIAN CATEGORIES; MACLANE HOMOLOGY;

D O I：

10.1016/j.aim.2014.11.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：652 / 698

页数：47

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