A Note on Dirac Operators on the Quantum Punctured Disk

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sigma513.pdf (239.56 KB)
Date
2010-07-16
Authors
Klimek, Slawomir
McBride, Matt
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American English
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Mathematical Sciences, School of Science
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National Academy of Science of Ukraine
Abstract

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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Operator theory, Functional analysis, Non-commutative geometry
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Slawomir, Klimek & Matt, McBride. (2010). A Note on Dirac Operators on the Quantum Punctured Disk. Symmetry, Integrability and Geometry : Methods and Applications. 6. 10.3842/SIGMA.2010.056.
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Symmetry, Integrability and Geometry: Methods and Applications
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Attribution-ShareAlike 4.0 International Creative Commons licenses
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https://hdl.handle.net/1805/22860
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https://doi.org/10.3842/SIGMA.2010.056
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Final published version
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