THE INDEX FORMULA FOR FAMILIES OF DIRAC TYPE OPERATORS ON PSEUDOMANIFOLDS

Pierre Albin; Jesse Gell-Redman

doi:10.4310/jdg/1696432923

THE INDEX FORMULA FOR FAMILIES OF DIRAC TYPE OPERATORS ON PSEUDOMANIFOLDS

Pierre Albin, Jesse Gell-Redman

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	207-343
Number of pages	137
Journal	Journal of Differential Geometry
Volume	125
Issue number	2
DOIs	https://doi.org/10.4310/jdg/1696432923
State	Published - Oct 2023

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.4310/jdg/1696432923

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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.",

author = "Pierre Albin and Jesse Gell-Redman",

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THE INDEX FORMULA FOR FAMILIES OF DIRAC TYPE OPERATORS ON PSEUDOMANIFOLDS

Abstract

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