Monodromy of the Gauss-Manin connection for deformation by group cocycles
K-Theory and Homology
2017-03-06 v2 Operator Algebras
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1207.6687,
title = {Monodromy of the Gauss-Manin connection for deformation by group cocycles},
author = {Makoto Yamashita},
journal= {arXiv preprint arXiv:1207.6687},
year = {2017}
}
Comments
minor changes, 17 pages; to appear in J. Noncommut. Geom