Atiyah-Bott index on stratified manifolds

TL;DR

This paper introduces a new Atiyah-Bott index for stratified manifolds, expressing it topologically, and demonstrates its computation for geometric operators on manifolds with edges.

Contribution

It defines the Atiyah-Bott index on stratified manifolds and provides topological expressions and explicit computations for manifolds with edges.

Findings

Index expressed in topological terms

Computed for geometric operators on manifolds with edges

Provides a framework for stratified manifold analysis

Abstract

We define Atiyah-Bott index on stratified manifolds and express it in topological terms. By way of example, we compute this index for geometric operators on manifolds with edges.