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.
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页码：652 / 698
页数：47
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