B. L. Tsygan

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Articles: 3

On the Gauss-Manin connection in cyclic homology

Boris Tsygan

↓ Abstract   |   Article (.pdf)

MFAT 13 (2007), no. 1, 83-94


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.

Noncommutative differential calculus, homotopy BV algebras and formality conjectures

D. Tamarkin, B. Tsygan

MFAT 6 (2000), no. 2, 85-100


Operations on Hochschild and cyclic complexes

Yu. L. Daletskii, B. L. Tsygan

MFAT 5 (1999), no. 4, 62-86


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