On Hochschild Cohomology and Morita Deformations

被引：14

作者：

Keller, Bernhard ^{[1
]}

Lowen, Wendy ^{[2
]}

机构：

[1] Univ Paris 07, UFR Math, Inst Math, UMR7586,CNRS, F-75251 Paris 05, France

[2] Univ Antwerp, Dept Wiskunde Informat, B-2020 Antwerp, Belgium

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2009年 / 2009卷 / 17期

关键词：

D O I：

10.1093/imrp/rnp050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that, in general, first-order Morita deformations are too limited to capture the second Hochschild cohomology of a differential graded category. For differential graded categories with bounded above cohomology, the Morita deformations do constitute a part of the Hochschild cohomology.

引用

页码：3221 / 3235

页数：15

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