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arxiv: 1709.03337 · v1 · pith:24TUJ4ELnew · submitted 2017-09-11 · 🧮 math.QA · math.KT· math.OA

Tracing cyclic homology pairings under twisting of graded algebras

Sayan Chakraborty , Makoto Yamashita This is my paper
classification 🧮 math.QA math.KTmath.OA
keywords cohomologycyclicalgebrasgradedactioncocycleconnectiondeformation
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We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of monodromy for the Gauss-Manin connection on periodic cyclic cohomology in terms of the cup product action of group cohomology.

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