Results 21 to 30 of about 135,026 (217)
A remark on “Connections and Higgs fields on a principal bundle” [PDF]
Annals of Global Analysis and Geometry, 2011 The authors show that a unipotent vector bundle on a non–Kähler compact complex manifold does not admit a flat holomorphic connection in general. It was also construct examples of topologically trivial stable vector bundle on compact Gauduchon manifold ...
I. Biswas, C. Florentino
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Equivariant principal bundles and logarithmic connections on toric varieties [PDF]
Pacific Journal of Mathematics, 2016 Let $M$ be a smooth complex projective toric variety equipped with an action of a torus $T$, such that the complement $D$ of the open $T$--orbit in $M$ is a simple normal crossing divisor. Let $G$ be a complex reductive affine algebraic group. We prove that an algebraic principal $G$--bundle $E_G\to M$ admits a $T$--equivariant structure if and only if
Indranil Biswas +2 more
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Strong connections on quantum principal bundles [PDF]
Communications in Mathematical Physics, 1996 AMS-LaTeX, 40 pages, major revision including examples of connections over a quantum real projective ...
Piotr M. Hajac
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Principal Bundles, Connections and BRST Cohomology
, 1994 31 pages ...
Hugo Garcı́a-Compeán +3 more
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Principal bundles, groupoids, and connections [PDF]
Banach Center Publications, 2007 We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry. Introduction. In this note, we make explicit a sense in which the theory
Anders Kock
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A geometric approach to discrete connections on principal bundles
Journal of Geometric Mechanics, 2013 This work revisits, from a geometric perspective, the notion of discrete connection on a principal bundle, introduced by M. Leok, J. Marsden and A. Weinstein. It provides precise definitions of discrete connection, discrete connection form and discrete horizontal lift and studies some of their basic properties and relationships. An existence result for
Javier Fernández, Marcela Zuccalli
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Connections on a Parabolic Principal Bundle Over a Curve [PDF]
Canadian Journal of Mathematics, 2006 AbstractThe aim here is to define connections on a parabolic principal bundle. Some applications are given.
Indranil Biswas
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Holonomy of a principal composite bundle connection, non-Abelian geometric phases, and gauge theory of gravity [PDF]
, 2010 We show that the holonomy of a connection defined on a principal composite bundle is related by a non-Abelian Stokes theorem to the composition of the holonomies associated with the connections of the component bundles of the composite.
David Viennot
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A global perspective to connections on principal 2-bundles [PDF]
Forum Mathematicum, 2016 Abstract For a strict Lie 2-group, we develop a notion of Lie 2-algebra-valued differential forms on Lie groupoids, furnishing a differential graded-commutative Lie algebra equipped with an adjoint action of the Lie 2-group and a pullback operation along Morita equivalences between Lie groupoids.
Konrad Waldorf
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Functoriality of Quantum Principal Bundles and Quantum Connections
, 2020 In the framework of Category Theory, we study the association between finite--dimensional representations of a compact quantum group and quantum vector bundles with linear connections for a given quantum principal bundle with a principal connection.
Gustavo Amilcar Saldaña Moncada
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