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.

minor changes, 17 pages; to appear in J. Noncommut. Geom

References in corpus (2)

• Connes-Landi Deformation of Spectral Triples
• Deformation of operator algebras by Borel cocycles

Cited by in corpus (1)

• The Gauss-Manin connection and noncommutative tori