Results 11 to 20 of about 292,639 (308)
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
Poddar, Mainak, Singh, Anoop
arxiv +7 more sources
Root stacks, principal bundles and connections [PDF]
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.
Souradeep Majumder +2 more
arxiv +7 more sources
On connections on principal bundles
Arab Journal of Mathematical Sciences, 2017 Final ...
Indranil Biswas
doaj +6 more sources
A geometric approach to discrete connections on principal bundles [PDF]
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
Fernández, J., Zuccalli, Marcela
arxiv +8 more sources
Functoriality of Quantum Principal Bundles and Quantum Connections [PDF]
arXiv, 2020 The purpose of this work is to present a complet categorical point of view of the association between finite dimmensional representations of a compact quantum group and quantum vector bundles with quantum linear connections using M. Durdevichs theory.
Gustavo Amilcar Saldaña Moncada
arxiv +5 more sources
Theory of Connections on Graded Principal Bundles [PDF]
Reviews in Mathematical Physics, 1998 The geometry of graded principal bundles is discussed in the framework of graded manifold theory of Kostant–Berezin–Leites. We first review the basic elements of this theory establishing at the same time supplementary properties of graded Lie groups and their actions.
T. Stavracou
+8 more sources
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
+8 more sources
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
Arijit Dey +2 more
+6 more sources
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.
Matthias Stemmler, Indranil Biswas
openaire +5 more sources
Principal Bundles, Connections and BRST Cohomology
, 1994 31 pages ...
García-Compeán, H. +3 more
openaire +4 more sources