Dirac operators on noncommutative hypersurfaces

DOI10.1016/j.geomphys.2020.103917zbMath1450.81048arXiv2004.07272OpenAlexW3017032765MaRDI QIDQ2207486

Hans Nguyen, Alexander Schenkel

Publication date: 22 October 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07272

zbMATH Keywords

noncommutative geometryDirac operatorsbimodule connectionsnoncommutative hypersurfaces

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spinor and twistor methods applied to problems in quantum theory (81R25) Spin and Spin({}^c) geometry (53C27) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)

Related Items (1)

Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\)

Cites Work

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• Mapping spaces and automorphism groups of toric noncommutative spaces
• Moduli spaces of instantons on toric noncommutative manifolds
• Metrics with harmonic spinors
• Modular curvature for noncommutative two-tori
• Zur Abhängigkeit des Dirac-operators von der Spin-Struktur
• Quantum Riemannian Geometry
• Noncommutative manifolds, the instanton algebra and isospectral deformations

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