Boundary Value Problems for Dirac Operators on Graphs

We carry the index theory for manifolds with boundary of Bär and Ballmann over to first-order differential operators on metric graphs. This approach yields a short proof of the index of such operators. Then the self-adjoint extensions and the spectrum of the Dirac operator on the complex line bundle...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Richtsfeld, Alberto
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212173
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Boundary Value Problems for Dirac Operators on Graphs. Alberto Richtsfeld. SIGMA 20 (2024), 022, 23 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine