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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Datum:2010
Hauptverfasser: Klimek, S., McBride, M.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2010
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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