Equivariant Twisted Cartan Cohomology Theory

TL;DR

This paper establishes an equivariant version of Cartan's classical result, extending the theory of simplicial cohomology with local coefficients to an equivariant setting, which is important for symmetry-aware topological analysis.

Contribution

It introduces an equivariant framework for Cartan's cohomology theory, broadening its applicability to symmetric spaces and group actions.

Findings

Proves an equivariant analogue of Cartan's cohomology result.

Extends simplicial cohomology with local coefficients to equivariant contexts.

Provides foundational tools for symmetry-invariant topological studies.

Abstract

In this note we prove an equivariant version of a result of Cartan for equivariant simplicial cohomology with local coefficients.