Spinors and Theta Deformations

Abstract

The construction due to Connes and Landi of Dirac operators on theta-deformed manifolds is recalled, stressing the aspect of spin structure. The description of Connes and Dubois-Violette is extended to arbitrary spin structure.

10 pages, based on talks at "NCGOA", Nashville (US), May 2007 and "Geometry and Operators Theory", Ancona (Italy), September 2007

References in corpus (1)

• Reconstruction of manifolds in noncommutative geometry

Cited by in corpus (4)

• Scalar curvature in conformal geometry of Connes-Landi noncommutative manifolds
• A reconstruction theorem for Connes-Landi deformations of commutative spectral triples
• Spin geometry of the rational noncommutative torus
• The Noncommutative Topology of Anti-Self-Dual Gauge Fields