TL;DR
This paper reviews the construction of Dirac operators on theta-deformed manifolds, emphasizing spin structures, and extends the description to include arbitrary spin structures, enhancing the mathematical framework of noncommutative geometry.
Contribution
It extends the existing framework for Dirac operators on theta-deformed manifolds to encompass arbitrary spin structures, broadening the scope of noncommutative geometric models.
Findings
Extended the description of Dirac operators to arbitrary spin structures
Recalled the original construction by Connes and Landi
Provided insights into spin structures in noncommutative geometry
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.
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