A Note on Dirac Operators on the Quantum Punctured Disk

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.

Bibliographic Details
Main Authors: Slawomir Klimek, Matt McBride
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.056