D-Bar Operators on Quantum Domains
arXiv:1001.2216 · doi:10.1007/s11040-010-9084-9
Abstract
We study the index problem for the d-bar operators subject to Atiyah- Patodi-Singer boundary conditions on noncommutative disk and annulus.
References in corpus (8)
- On Function Theory in Quantum Disc: Integral Representations
- A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory
- Dirac operators on noncommutative manifolds with boundary
- On Function Theory in Quantum Disc: A q-Analogue of Berezin Transform
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Cited by in corpus (8)
- A Note on Dirac Operators on the Quantum Punctured Disk
- A -Adic Spectral Triple
- Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
- Global boundary conditions for a Dirac operator on the solid torus
- The Quantum Pair of Pants
- A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
- Classical limit of the d-bar operators on quantum domains
- A Note on Spectral Triples on the Quantum Disk