Monodromy of the Gauss-Manin connection for deformation by group cocycles

2012/07/28 by Yamashita, Makoto
#19D55 (Primary) #46L65 (Secondary) #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1207.6687

Abstract

We consider the 2-cocycle deformation of algebras graded by discrete groups. The action of the Maurer-Cartan form on cyclic cohomology is shown to be cohomologous to the cup product action of the group cocycle. This allows us to compute the monodromy of the Gauss-Manin connection in the strict deformation setting.

Related

• Tracing cyclic homology pairings under twisting of graded algebras
• Free products, cyclic homology, and the Gauss-Manin connection
• Deformation of algebras associated with group cocycles
• Smooth deformations and the Gauss-Manin connection
• The Gauss-Manin connection on the periodic cyclic homology