ON THE GAUSS-MANIN CONNECTION IN CYCLIC HOMOLOGY

被引：0

作者：

Tsygan, Boris ^{[1
]}

机构：

[1] North West Univ, Dept Math, Evanston, IL 60625 USA

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2007年 / 13卷 / 01期

关键词：

Hochschild chain complex; periodic cyclic complex; Hochschild cochain complex; differential graded Lie algebra; L-infinity module;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Getzler constructed a flat connection in the periodic cyclic homology, called the Gauss-Manin connection. In this paper we define this connection, and its monodromy, at the level of the periodic cyclic complex. The construction does not depend on an associator, and provides an explicit structure of a DG module over an auxiliary DG algebra. This paper is, to a large extent, an effort to clarify and streamline our work [4] with Yu. L. Daletsky.

引用

页码：83 / 94

页数：12

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