Results 1 to 10 of about 360 (229)
Relative connections on Principal bundles and relative equivariant structures [PDF]
Differential Geometry and its Applications, 2023 We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation
Mainak Poddar, Anoop Singh
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On connections on principal bundles
Arab Journal of Mathematical Sciences, 2017 A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
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Root stacks, principal bundles and connections
Bulletin des Sciences Mathématiques, 2012 We investigate principal bundles over a root stack. In case of dimension one, we generalize the criterion of Weil and Atiyah for a principal bundle to have an algebraic connection.
Indranil Biswas +2 more
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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.
Marco Castrillón López +1 more
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T-duality as correspondences of categorified principal bundles with adjusted connections [PDF]
Proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2022), 2023 22 ...
Christian Saemann, Hyungrok Kim
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Algebra of Principal Fibre Bundles, and Connections
, 2000 We put together some of the efforts by several people of making aspects of fibre bundle theory into algebra. The initiator of these efforts was Charles Ehresmann, who put the notion of groupoid and groupoid action in the focus of fibre bundle theory in general, and in connection theory in particular.
Anders Kock
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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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Connections on a Parabolic Principal Bundle, II [PDF]
Canadian Mathematical Bulletin, 2009 AbstractIn Connections on a parabolic principal bundle over a curve, I we defined connections on a parabolic principal bundle. While connections on usual principal bundles are defined as splittings of the Atiyah exact sequence, it was noted in the above article that the Atiyah exact sequence does not generalize to the parabolic principal bundles.
Indranil Biswas
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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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Hermitian-Einstein connections on polystable parabolic principal Higgs bundles [PDF]
Advances in Theoretical and Mathematical Physics, 2011 Given a smooth complex projective variety X and a smooth divisor D on X, we prove the existence of Hermitian-Einstein connections, with respect to a Poincar -type metric on X - D, on polystable parabolic principal Higgs bundles with parabolic structure over D, satisfying certain conditions on its restriction to D.
Indranil Biswas, Matthias Stemmler
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