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On Spin Structures and Dirac Operators on the Noncommutative Torus

量子代数 2018-06-04 v1 数学物理 math.MP

摘要

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.

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引用

@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}
}

备注

LaTeX, 13 pages