On the Gauss-Manin connection in cyclic homology

Authors

  • B. L. Tsygan Department of Mathematics, Northwestern University, Evanston, Illinois, USA Boris Tsygan Northwestern University 

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Abstract

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.

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Published

2007-03-25

Issue

Vol. 13 No. 1 (2007)

Section

Articles

How to Cite

Tsygan, B. L. “On the Gauss-Manin Connection in Cyclic Homology”. Methods of Functional Analysis and Topology, vol. 13, no. 1, Mar. 2007, pp. 83-94, https://zen.imath.kiev.ua/index.php/mfat/article/view/339.