Dirac type operators on the quantum solid torus with global boundary conditions
Operator Algebras
2016-11-09 v2
Abstract
We define a noncommutative space we call the quantum solid torus. It is an example of a noncommutative manifold with a noncommutative boundary. We study quantum Dirac type operators subject to Atiyah-Patodi-Singer like boundary conditions on the quantum solid torus. We show that such operators have compact inverse, which means that the corresponding boundary value problem is elliptic.
Cite
@article{arxiv.1611.01556,
title = {Dirac type operators on the quantum solid torus with global boundary conditions},
author = {Slawomir Klimek and Matt McBride},
journal= {arXiv preprint arXiv:1611.01556},
year = {2016}
}