Smooth deformations and the Gauss-Manin connection
K-Theory and Homology
2014-10-06 v1 Operator Algebras
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.
Cite
@article{arxiv.1410.0715,
title = {Smooth deformations and the Gauss-Manin connection},
author = {Allan Yashinski},
journal= {arXiv preprint arXiv:1410.0715},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1210.4531