Results 11 to 20 of about 164,169 (170)
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
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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
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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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Principal bundles and connections modelled by Lie group bundles [PDF]
Geometriae Dedicata, 2023 AbstractIn this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the definition of equivariant connections in these bundles, associated to Lie group bundle connections, is provided, together with the analysis of their existence and their main properties. The final part gives some examples.
Castrillón López, Marco +1 more
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Equivariant Diffusions on Principal Bundles [PDF]
Advanced Studies in Pure Mathematics, 2010 Given a pair of second order diffusion operators, one on the total space of a principle bundle $N$ and the other on the base space $M$, intertwined by the projection $ :N\to M$, if the operator ${\mathcal A}$ on the base manifold has constant rank, we define a semi-connection on the principal bundle which allows to split the diffusion operator ...
Elworthy, K. David +2 more
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Principal $$\infty $$ ∞ -bundles: presentations [PDF]
Journal of Homotopy and Related Structures, 2014 55 ...
Urs Schreiber +2 more
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Martingales on principal fiber bundles
Proyecciones (Antofagasta), 2023 Let P(M,G) be a principal fiber bundle, let ω be a connection form on P(M,G), and consider a projectable connection ∇P on P(M,G). The aim of this work is to determine the ∇P -martingales in P(M,G). Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
Catuogno, Pedro, Stelmastchuk, Simão N.
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n-Tuple principal bundles [PDF]
International Journal of Geometric Methods in Modern Physics, 2018 We develop the concept of a double (more generally [Formula: see text]-tuple) principal bundle departing from a compatibility condition for a principal action of a Lie group on a groupoid.
Katarzyna Grabowska, Janusz Grabowski
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T-duality for principal torus bundles [PDF]
Journal of High Energy Physics, 2004 9 pages, typos removed and minor corrections ...
Bouwknegt, P. +2 more
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A CRITERION FOR HOMOGENEOUS PRINCIPAL BUNDLES [PDF]
International Journal of Mathematics, 2010 We consider principal bundles over G/P, where P is a parabolic subgroup of a semi-simple and simply connected linear algebraic group G defined over ℂ. We prove that a holomorphic principal H-bundle EH → G/P, where H is a complex reductive group, and is homogeneous if the adjoint vector bundle ad (EH) is homogeneous. Fix a faithful H-module V.
Indranil Biswas, Günther Trautmann
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