Deformation quantization of principal bundles

DOI10.1142/S0219887816300105zbMath1364.53090arXiv1611.01493MaRDI QIDQ2830804

Paolo Aschieri

Publication date: 31 October 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01493

zbMATH Keywords

noncommutative geometryHopf-Galois extensionscocycle twistingnoncommutative principal bundles

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Cites Work

• Noncommutative principal bundles through twist deformation
• Twisted gauge theories
• \(R\)-matrix formulation of the quantum inhomogeneous groups ISO\(_{q,r}(N)\) and ISp\(_{q,r}(N)\)
• Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity
• Noncommutative geometry and gravity
• Unnamed Item

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