A Note on Dirac Operators on the Quantum Punctured Disk

Symmetry Integrability and Geometry-Methods and Applications

article

Slawomir Klimek¹  Matt McBride¹ 

[1] Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis

关键词: operator theory;    functional analysis;    non-commutative geometry;   

DOI  :  10.3842/SIGMA.2010.056

来源: National Academy of Science of Ukraine

【 摘 要 】

We study quantum analogs of the Dirac type operator −2 z − ∂/∂ 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.

【 授权许可】

Unknown