Classification of spin structures on the noncommutative n-torus

arxiv: 1003.5156 · v4 · pith:XFENTF6Qnew · submitted 2010-03-26 · 🧮 math.OA · math-ph· math.MP· math.QA

Classification of spin structures on the noncommutative n-torus

Jan Jitse Venselaar This is my paper

classification 🧮 math.OA math-phmath.MPmath.QA

keywords spinstructuresn-torusnoncommutativeclassificationadditionclassifycommutative

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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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Classification of spin structures on the noncommutative n-torus

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