Results 1 to 10 of about 103,540 (91)
A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold [PDF]
, 2015 A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys.
Bleecker D. +12 more
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The Existence of Cartan Connections and Geometrizable Principal Bundles [PDF]
, 2004 The aim of this article is to proof a necessary and sufficient condition for the existence of a Cartan connection on a principal bundle. After collecting the essentially well known facts to fix the terminology, soldering forms and geometrizable principal
Barakat, Mohamed
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Nonabelian Bundle Gerbes, their Differential Geometry and Gauge Theory [PDF]
, 2003 Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and ...
Bouwknegt +15 more
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Can You hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
, 2020 Geometric Arbitrage Theory reformulates a generic asset model possibly allowing for arbitrage by packaging all assets and their forwards dynamics into a stochastic principal fibre bundle, with a connection whose parallel transport encodes discounting and
Farinelli, Simone, Takada, Hideyuki
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Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle [PDF]
, 2013 A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space $E$, and then a connection is also defined on this bundle.
Durdevich, Micho, Sontz, Stephen Bruce
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Connections on locally trivial quantum principal fibre bundles
, 2000 Following the approach of Budzy\'nski and Kondracki, we define covariant differential algebras and connections on locally trivial quantum principal fibre bundles.
Brzezinski +10 more
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Non-abelian higher gauge theory and categorical bundle
, 2016 A gauge theory is associated with a principal bundle endowed with a connection permitting to define horizontal lifts of paths. The horizontal lifts of surfaces cannot be defined into a principal bundle structure.
Viennot, David
core +3 more sources
Curvature function and coarse graining [PDF]
, 2010 A classic theorem in the theory of connections on principal fiber bundles states that the evaluation of all holonomy functions gives enough information to characterize the bundle structure (among those sharing the same structure group and base manifold ...
Dubrovin B. A. +2 more
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The noncommutative geometry of Yang-Mills fields
, 2010 We generalize to topologically non-trivial gauge configurations the description of the Einstein-Yang-Mills system in terms of a noncommutative manifold, as was done previously by Chamseddine and Connes.
Atiyah +24 more
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Gauge-potential approach to the kinematics of a moving car
, 1997 A kinematics of the motion of a car is reformulated in terms of the theory of gauge potentials (connection on principal bundle).
A. Guichardet +6 more
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