Results 11 to 20 of about 226,986 (311)
Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety [PDF]
, 2020 Let X be a connected smooth complex projective variety of dimension $$n \ge 1$$ n ≥ 1 . Let D be a simple normal crossing divisor on X . Let G be a connected complex Lie group, and $$E_G$$ E G a holomorphic principal G -bundle on X .
Sudarshan Gurjar, Arjun Paul
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Дифференциальная геометрия многообразий фигур, 2020 The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it.
A.V. Vyalova
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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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Connections on a parabolic principal bundle, II [PDF]
arXiv, 2007 In \cite{Bi2} (Canad. Jour. Math. Vol. 58) 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 \cite{Bi2} that the Atiyah exact sequence does not generalize to the parabolic principal bundles.
Indranil Biswas
arxiv +3 more sources
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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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
semanticscholar +5 more sources
The Atiyah bundle and connections on a principal bundle
Proceedings - Mathematical Sciences, 2010 Let M be a C∞ manifold and G a Lie a group. Let EG be a C∞ principal G-bundle over M. There is a fiber bundle C(EG) over M whose smooth sections correspond to the connections on EG. The pull back of EG to C(EG) has a tautological connection. We investigate the curvature of this tautological connection.
I. Biswas
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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
openalex +5 more sources