English

On Spin Structures and Dirac Operators on the Noncommutative Torus

Quantum Algebra 2018-06-04 v1 Mathematical Physics math.MP

Abstract

We find and classify possible equivariant spin structures with Dirac operators on the noncommutative torus, proving that similarly as in the classical case the spectrum of the Dirac operator depends on the spin structure.

Keywords

Cite

@article{arxiv.math/0605191,
  title  = {On Spin Structures and Dirac Operators on the Noncommutative Torus},
  author = {Mario Paschke and Andrzej Sitarz},
  journal= {arXiv preprint arXiv:math/0605191},
  year   = {2018}
}

Comments

LaTeX, 13 pages