Classification of spin structures on the noncommutative n-torus

Jan Jitse Venselaar

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arXiv · 1003.5156

Classification of spin structures on the noncommutative n-torus

Jan Jitse Venselaar

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Abstract

We classify spin structures on the noncommutative torus, and find that the noncommutative n-torus has 2^n spin structures, corresponding to isospectral deformations of spin structures on the commutative n-torus. For n>3 the classification depends on Connes' spin manifold theorem. In addition, we study unitary equivalences of these spin structures.

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BibTeX RIS

Jan Jitse Venselaar. 2010-03-26. Classification of spin structures on the noncommutative n-torus. https://arxiv.org/abs/1003.5156

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