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A Note on Dirac Operators on the Quantum Punctured Disk

Operator Algebras 2010-07-19 v2 Mathematical Physics math.MP

Abstract

We study quantum analogs of the Dirac type operator 2zˉzˉ-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.

Keywords

Cite

@article{arxiv.1003.5618,
  title  = {A Note on Dirac Operators on the Quantum Punctured Disk},
  author = {Slawomir Klimek and Matt McBride},
  journal= {arXiv preprint arXiv:1003.5618},
  year   = {2010}
}
R2 v1 2026-06-21T15:04:04.011Z