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.
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页码：3221 / 3235
页数：15
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