Published 2013
| Published + Submitted
Journal Article
Open
Classification of spin structures on the noncommutative n-torus
- Creators
- Venselaar, Jan Jitse
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≥4 the classification depends on Connes' spin manifold theorem. In addition, we study unitary equivalences of these spin structures.
Additional Information
© 2013 European Mathematical Society. Received April 19, 2011; revised July 25, 2011. The author thanks Gunther Cornelissen for discussions and encouragement, and the referee for pertinent remarks.Attached Files
Published - 2013-007-003-07.pdf
Submitted - 1003.5156v4.pdf
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2013-007-003-07.pdf
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Additional details
- Eprint ID
- 43123
- Resolver ID
- CaltechAUTHORS:20131220-141257532
- Created
-
2013-12-23Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- MR3108696