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arXiv · 1410.0715

Smooth deformations and the Gauss-Manin connection

Allan Yashinski
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Abstract

Given a smooth one parameter deformation of associative topological algebras, we define Getzler's Gauss-Manin connection on both the periodic cyclic homology and cohomology of the corresponding smooth field of algebras and investigate some basic properties. We use the Gauss-Manin connection to prove a rigidity result for periodic cyclic cohomology of Banach algebras with finite weak bidimension.

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Allan Yashinski. 2014-10-02. Smooth deformations and the Gauss-Manin connection. https://arxiv.org/abs/1410.0715

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