A Note on Dirac Operators on the Quantum Punctured Disk

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.

References in corpus (2)

• A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory
• Dirac operators on noncommutative manifolds with boundary