A Note on Dirac Operators on the Quantum Punctured Disk

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.

Keywords

• operator theory
• functional analysis
• non-commutative geometry