A Note on Dirac Operators on the Quantum Punctured Disk

Published 29 Mar 2010 in math.OA, math-ph, and math.MP | (1003.5618v2)

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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