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Principal bundles and ad{è}les [PDF]
, 2021 in French ...
Philippe Gille, Laurent Moret-Bailly
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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.
Lang, Honglei, Li, Yanpeng, Liu, Zhangju
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Note on principal 𝑆³-bundles [PDF]
Bulletin of the American Mathematical Society, 1968 Peter Hilton, Joseph Roitberg
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Principal $$\infty $$ ∞ -bundles: presentations [PDF]
Journal of Homotopy and Related Structures, 2014 55 ...
Nikolaus, Thomas +2 more
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Chern character in twisted K-theory: equivariant and holomorphic cases [PDF]
, 2002 It has been argued by Witten and others that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are measured by twisted K-theory.
Mathai, Varghese, Stevenson, Danny
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Characteristic principal bundles [PDF]
Transactions of the American Mathematical Society, 1975 Characteristic principal bundles are the duals of commutative twisted group algebras. A principal bundle with locally compact second countable (Abelian) group and base space is characteristic iff it supports a continuous eigenfunction for almost every character measurably in the characters, also iff it is the quotient by Z of a principal E-bundle for ...
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On principal $G_2$ bundles [PDF]
Asian Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometry of classical Higgs fields [PDF]
, 2005 In gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction of a structure group of this principal bundle to a subgroup H of exact ...
Sardanashvily, G.
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On equivariant Serre problem for principal bundles [PDF]
, 2018 Let $E_G$ be a $\Gamma$--equivariant algebraic principal $G$--bundle over a normal complex affine variety $X$ equipped with an action of $\Gamma$, where $G$ and $\Gamma$ are complex linear algebraic groups.
Biswas, Indranil +2 more
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