The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem

被引：44

作者：

Markarian, Nikita ^{[1
]}

机构：

[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2009年 / 79卷

关键词：

D O I：

10.1112/jlms/jdn064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a formalism involving Atiyah classes of sheaves on a smooth manifold, Hochschild chain and cochain complexes. As an application we prove a version of the Riemann-Roch theorem.

引用

页码：129 / 143

页数：15

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