Index formulas on stratified manifolds
A. Savin, B. Sternin
TL;DR
This paper develops index formulas for elliptic operators on stratified manifolds, expressing the overall index as a sum of indices on individual strata, under specific symbol assumptions.
Contribution
It introduces new index formulas for elliptic operators on stratified manifolds with multiple strata, generalizing previous results.
Findings
Derived index formulas expressing global index as sum over strata
Applicable to operators with specific symbol conditions
Extends index theory to complex stratified structures
Abstract
Elliptic operators on stratified manifolds with any finite number of strata are considered. Under certain assumptions on the symbols of operators, we obtain index formulas, which express index as a sum of indices of elliptic operators on the strata.
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