English

Gauss-Manin connections and Lie-Rinehart cohomology

Algebraic Geometry 2023-04-11 v8 K-Theory and Homology

Abstract

In this note a generalized Gauss-Manin connection is constructed for cohomology of Lie-Rinehart algebras, generalizing the classical Gauss-Manin connection. As an application a Gysin-map between K-groups of flat connections is constructed. We also calculate some examples of Gauss-Manin connections on hypersurface singularities.

Keywords

Cite

@article{arxiv.math/0602197,
  title  = {Gauss-Manin connections and Lie-Rinehart cohomology},
  author = {Helge Maakestad},
  journal= {arXiv preprint arXiv:math/0602197},
  year   = {2023}
}

Comments

Tha paper contained several mistakes and I chose to withdraw it