Dirac operators on noncommutative hypersurfaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:158

Article

Nguyen, Hans¹  Schenkel, Alexander¹ 

[1] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, England

关键词: Noncommutative geometry;    Bimodule connections;    Dirac operators;    Noncommutative hypersurfaces;   

DOI  :  10.1016/j.geomphys.2020.103917

来源: Elsevier

【 摘 要 】

This paper studies geometric structures on noncommutative hypersurfaces within a module-theoretic approach to noncommutative Riemannian (spin) geometry. A construction to induce differential, Riemannian and spinorial structures from a noncommutative embedding space to a noncommutative hypersurface is developed and applied to obtain noncommutative hypersurface Dirac operators. The general construction is illustrated by studying the sequence T-theta(2)(sic)S-theta(3)(sic)R-theta(4) of noncommutative hypersurface embeddings. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free