A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Operator Algebras
2014-04-03 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1309.7096,
title = {A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere},
author = {Slawomir Klimek and Matt McBride},
journal= {arXiv preprint arXiv:1309.7096},
year = {2014}
}