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MiS Preprint

On Spin Structures and Dirac Operators on the Noncommutative Torus

Mario Paschke and Andrzej Sitarz


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.

May 17, 2006
May 17, 2006
MSC Codes:
58B34, 46L87
Noncommutative Geometry, Spin Structures

Related publications

2006 Repository Open Access
Mario Paschke and Andrzej Sitarz

On spin structures and dirac operators on the noncommutative torus

In: Letters in mathematical physics, 77 (2006) 3, pp. 317-327