Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators

We study how far APS boundary conditions for a Lorentzian Dirac operator may be perturbed without destroying Fredholmness of the Dirac operator. This is done by developing criteria under which the perturbation of a compact pair of projections is a Fredholm pair.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2025-10-20
DOI
https://doi.org/10.3842/sigma.2025.088
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators

Symmetry Integrability and Geometry Methods and Applications
Spectral Theory in Mathematical Physics
article

Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators

article en

Abstract

We study how far APS boundary conditions for a Lorentzian Dirac operator may be perturbed without destroying Fredholmness of the Dirac operator. This is done by developing criteria under which the perturbation of a compact pair of projections is a Fredholm pair.

Symmetry Integrability and Geometry Methods and Applications
University of Potsdam (DE)
Openalex Percentile: Top 63%
Spectral Theory in Mathematical Physics
DOIOpen Access PDFOpenAlex
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Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators · Symmetry Integrability and Geometry Methods and Applications (2025) | TGRS Research Map | TGRS