A Note on Dirac Operators on the Quantum Punctured Disk

Mathematics – Operator Algebras

Scientific paper

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Scientific paper

10.3842/SIGMA.2010.056

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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