The index formula for families of Dirac type operators on pseudomanifolds
Differential Geometry
2017-12-25 v1 Analysis of PDEs
Geometric Topology
Abstract
We study families of Dirac-type operators, with compatible perturbations, associated to wedge metrics on stratified spaces. We define a closed domain and, under an assumption of invertible boundary families, prove that the operators are self-adjoint and Fredholm with compact resolvents and trace-class heat kernels. We establish a formula for the Chern character of their index.
Keywords
Cite
@article{arxiv.1712.08513,
title = {The index formula for families of Dirac type operators on pseudomanifolds},
author = {Pierre Albin and Jesse Gell-Redman},
journal= {arXiv preprint arXiv:1712.08513},
year = {2017}
}