Results 11 to 20 of about 224,756 (248)
Deformation quantization of principal bundles [PDF]
International Journal of Geometric Methods in Modern Physics, 2016 We outline how Drinfeld twist deformation techniques can be applied to the deformation quantization of principal bundles into noncommutative principal bundles, and more in general to the deformation of Hopf-Galois extensions.
Aschieri, Paolo
core +7 more sources
T-duality for principal torus bundles [PDF]
Journal of High Energy Physics, 2004 9 pages, typos removed and minor corrections ...
Peter Bouwknegt +2 more
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Quantum Principal Bundles [PDF]
arXiv, 1993 A noncommutative-geometric generalization of the theory of principal bundles is sketched. A differential calculus over corresponding quantum principal bundles is analysed. The formalism of connections is presented. In particular, operators of covariant derivative and horizontal projection are described and analysed. Quantum counterparts for the Bianchi
arxiv +3 more sources
Parallelisability of Principal Fibre Bundles [PDF]
Transactions of the American Mathematical Society, 1949 Shiing-Shen Chern, Sze-Tsen Hu
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Comparison of the biomechanical properties of grafts in three anterior cruciate ligament reconstruction techniques based on three-dimensional finite element analysis [PDF]
Journal of Orthopaedic Surgery and ResearchObjective To evaluate the biomechanical characteristics of grafts from three different anterior cruciate ligament (ACL) reconstructive surgeries and to determine which method is better at restoring knee joint stability.
Jiawnag Lou +7 more
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Note on principal $S^3$-bundles [PDF]
Bulletin of the American Mathematical Society, 1968 Peter Hilton, Joseph Roitberg
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Poisson Principal Bundles [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space X is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld with bicovariant Poisson-compatible contravariant connection, and the base has an inherited Poisson ...
Majid, S, Williams, L
openaire +2 more sources
Double principal bundles [PDF]
Journal of Geometry and Physics, 2021 We define double principal bundles (DPBs), for which the frame bundle of a double vector bundle, double Lie groups and double homogeneous spaces are basic examples. It is shown that a double vector bundle can be realized as the associated bundle of its frame bundle. Also dual structures, gauge transformations and connections in DPBs are investigated.
Honglei Lang, Yanpeng Li, Zhangju Liu
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On principal $G_2$ bundles [PDF]
Asian Journal of Mathematics, 1999 S. Subramanian
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On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization ...
Jean-Pierre Magnot
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