Equivariant Lie-Rinehart cohomology

TL;DR

This paper investigates Lie-Rinehart cohomology for quotient singularities by finite groups, linking these cohomology groups to integrable connections on modules, thus advancing understanding in algebraic geometry and representation theory.

Contribution

It introduces a novel interpretation of Lie-Rinehart cohomology in the context of quotient singularities and integrable connections, expanding theoretical frameworks.

Findings

Cohomology groups characterized for quotient singularities

Connection established between cohomology and integrable modules

Provides new tools for studying singularities and symmetries

Abstract

In this paper, we study Lie-Rinehart cohomology for quotients of singularities by finite groups, and interpret these cohomology groups in terms of integrable connection on modules.