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

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.