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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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Author: Ronge, Lennart
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214196
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators. Lennart Ronge. SIGMA 21 (2025), 088, 13 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1815-0659