B. L. Tsygan
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Methods Funct. Anal. Topology 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  with Yu.L. Daletsky.
Methods Funct. Anal. Topology 6 (2000), no. 2, 85-100
Methods Funct. Anal. Topology 5 (1999), no. 4, 62-86