Results 21 to 30 of about 226,986 (311)
On connections on principal bundles [PDF]
arXiv, 2016 A new construction of a universal connection was given in \cite{BHS}. 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 a holomorphic connection if and only if the degree of every direct summand of $E$ is degree.
Indranil Biswas
arxiv +3 more sources
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
openalex +3 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.
Indranil Biswas, Matthias Stemmler
openalex +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
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Principal Bundles, Connections and BRST Cohomology
, 1994 31 pages ...
Hugo García‐Compeán +3 more
openalex +4 more sources
Principal bundles on compact complex manifolds with trivial tangent bundle [PDF]
arXiv, 2011 Let $G$ be a connected complex Lie group and $\Gamma\subset G$ a cocompact lattice. Let $H$ be a complex Lie group. We prove that a holomorphic principal $H$-bundle $E_H$ over $G/\Gamma$ admits a holomorphic connection if and only if $E_H$ is invariant.
I. Biswas
arxiv +2 more sources
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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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
openalex +7 more sources
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
openalex +3 more sources
Logarithmic connections on principal bundles over normal varieties [PDF]
arXiv, 2022 Let $X$ be a normal projective variety over an algebraically closed field of characteristic zero. Let $D$ be a reduced Weil divisor on $X$. Let $G$ be a reductive linear algebraic group. We introduce the notion of a logarithmic connection on a principal $G$-bundle over $X$, which is singular along $D$.
Dasgupta, Jyoti +2 more
arxiv +3 more sources