A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere

Abstract

The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators.

References in corpus (5)

• D-Bar Operators on Quantum Domains
• The 3D Spin Geometry of the Quantum Two-Sphere
• A Note on Dirac Operators on the Quantum Punctured Disk
• Dirac operators on noncommutative manifolds with boundary
• Fibre product approach to index pairings for the generic Hopf fibration of SU_q(2)

Cited by in corpus (1)

• The Quantum Pair of Pants