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math.KT2014
Smooth deformations and the Gauss-Manin connection
Allan Yashinski
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…
math.KT2012★ 1 cited
The Gauss-Manin connection and noncommutative tori
Allan Yashinski
We use Getzler's Gauss-Manin connection to prove the invariance of periodic cyclic cohomology for the smooth deformation of noncommutative tori. We explicitly calculate the paralle…