SMOOTH LOOPS AND FIBER BUNDLES: THEORY OF PRINCIPAL Q-BUNDLES

DOI10.1142/S0219887809003412zbMath1179.53039arXiv0806.1339OpenAlexW2147940572MaRDI QIDQ3620392

Alexander I. Nesterov

Publication date: 14 April 2009

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

Full work available at URL: https://arxiv.org/abs/0806.1339

zbMATH Keywords

quasigroupssmooth loopsfiber bundlesnonassociative gauge theories

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Connections (general theory) (53C05)

Related Items (1)

Nonassociative analogs of Lie groupoids

Cites Work

• Magnetic monopoles with generalized quantization condition
• Smooth loops, generalized coherent states, and geometric phases
• Three-cocycles, nonassociative gauge transformations and Dirac's monopole
• NONASSOCIATIVITY, DIRAC MONOPOLE AND AHARONOV–BOHM EFFECT
• Quasigroup construction and first class constraints
• The abstract complex Lorentz transformation group with real metric. I. Special relativity formalism to deal with the holomorphic automorphism group of the unit ball in any complex Hilbert space
• Lie loops with invariant uniformities
• Principal loop bundles: Toward nonassociative gauge theories.
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