A Note on Dirac Operators on the Quantum Punctured Disk

作者：Klimek Slawomir^*; McBride Matt

来源：Symmetry Integrability and Geometry-Methods and Applications, 2010, 6: 056.

DOI：10.3842/SIGMA.2010.056

• operator theory
• functional analysis
• non-commutative geometry

We study quantum analogs of the Dirac type operator -2 (z) over bar partial derivative/partial derivative 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.

• 出版日期2010