Dynamical noncommutative spheres

DOI10.1007/S00220-003-0900-YzbMath1149.58304arXivmath-ph/0112042OpenAlexW3100317282MaRDI QIDQ1409248

Andrzej Sitarz

Publication date: 8 October 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0112042

zbMATH Keywords

Chern-Simons pairingfirst Chern class trivialinstanton projector

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (4)

Order-unit quantum Gromov--Hausdorff distance ⋮ On the Chern-Gauss-Bonnet theorem for the noncommutative 4-sphere ⋮ \(\theta\)-deformations as compact quantum metric spaces ⋮ On the absence of continuous symmetries for noncommutative 3-spheres

Cites Work

• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• A short survey of noncommutative geometry
• Noncommutative 4-spheres based on all Podlés 2-spheres and beyond
• More noncommutative 4-spheres
• Twists and spectral triples for isospectral deformations
• Noncommutative manifolds, the instanton algebra and isospectral deformations
• Instantons on the quantum 4-spheres \(S^ 4_ q\).
• Quantum symmetry groups of noncommutative spheres
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