COBORDISM INVARIANCE OF THE INDEX FOR REALIZATIONS OF ELLIPTIC OPERATORS REVISITED
Abstract
We revisit an argument due to Lesch (1993, 1997) for proving the cobordism invariance of the index of Dirac operators on even-dimensional closed manifolds and combine this with recent work by Krainer (2022) to show vanishing results for the spectral flow for families of selfadjoint Fredholm realizations of elliptic operators in case the family is induced on the boundary by an elliptic operator on a compact space. This work is motivated by studying the behavior of the index of realizations of elliptic operators under cobordisms of stratified iterated wedge spaces.
Fields of Study & Subjects
Advanced Operator Algebra Research
Algebraic structures and combinatorial models
Geometric and Algebraic Topology
Publication details
- Journal / source
- Rocky Mountain Journal of Mathematics
- Volume
- 56
- Issue
- 2
- Pages
- 423–440
- Publication date
- 1 April 2026
- Language
- EN