A Note on Dirac Operators on the Quantum Punctured Disk

We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded outside of the zero mode.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2010
Main Authors: Klimek, S., McBride, M.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146357
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A Note on Dirac Operators on the Quantum Punctured Disk / S. Klimek, M. McBride // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine