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arXiv · 1003.5618

A Note on Dirac Operators on the Quantum Punctured Disk

Slawomir Klimek·Matt McBride
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Abstract

We study quantum analogs of the Dirac type operator $-2\bar{z}\frac{\partial}{\partial\bar{z}}$ 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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Slawomir Klimek, Matt McBride. 2010-07-16. A Note on Dirac Operators on the Quantum Punctured Disk. https://doi.org/10.3842/sigma.2010.056

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