Results 1 to 10 of about 3,461,193 (288)
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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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 Mieczyslaw Hajac
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The Atiyah bundle and connections on a principal bundle
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Indranil Biswas
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Criterion for connections on principal bundles over a pointed Riemann surface
Complex Manifolds, 2017 We investigate connections, and more generally logarithmic connections, on holomorphic principal bundles over a compact connected Riemann surface.
Biswas Indranil
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Equivariant principal bundles for G–actions and G–connections
Complex Manifolds, 2015 Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection.
Biswas Indranil +2 more
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Principal bundles and connections modelled by Lie group bundles
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 +2 more
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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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Logarithmic Connections on Principal Bundles and Their Applications to Geometric Control Theory
AxiomsIn this research, we establish a precise correspondence between the theory of logarithmic connections on principal G-bundles over compact Riemann surfaces and the geometric formulation of control systems on curved manifolds, providing a novel ...
Álvaro Antón-Sancho
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Linear and projective connections over a smooth manifold
Дифференциальная геометрия многообразий фигур, 2023 The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
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Can You Hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
Axioms, 2021 Utilizing gauge symmetries, the Geometric Arbitrage Theory reformulates any asset model, allowing for arbitrage by means of a stochastic principal fibre bundle with a connection whose curvature measures the “instantaneous arbitrage capability”.
Simone Farinelli, Hideyuki Takada
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