D-Bar Operators on Quantum Domains

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 (2)

• A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory
• Dirac operators on noncommutative manifolds with boundary

Cited by in corpus (8)

• A Note on Dirac Operators on the Quantum Punctured Disk
• A $P$-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