Three natural generalizations of Fedosov quantization.
Bering, Klaus (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Deformation quantization in white noise analysis.”
Three natural generalizations of Fedosov quantization.
-deformed WZW model and its gauging.
Klimčík, Ctirad (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On the geometry of the standard -symplectic and Poisson manifolds.
Blaga, Adara M. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Field-theoretic Weyl deformation quantization of enlarged Poisson algebras.
Honegger, Reinhard, Rieckers, Alfred, Schlafer, Lothar (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Poisson structures on having only two symplectic leaves: the origin and the rest
S. Zakrzewski (2000)
Banach Center Publications
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Examples of Poisson structures with isolated non-symplectic points are constructed from classical r-matrices.
Geometric prequantization of a generalized mechanical system.
Wainberg, Dorin (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Classifications of star products and deformations of Poisson brackets
Philippe Bonneau (2000)
Banach Center Publications
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On the algebra of functions on a symplectic manifold we consider the pointwise product and the Poisson bracket; after a brief review of the classifications of the deformations of these structures, we give explicit formulas relating a star product to its classifying formal Poisson bivector.
The group of quasisymmetric homeomorphisms of the circle and quantization of the universal Teichmüller space.
Sergeev, Armen G. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Deformation quantization of Poisson structures associated to Lie algebroids.
Neumaier, Nikolai, Waldmann, Stefan (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Aspects of Geometric Quantization Theory in Poisson Geometry
Izu Vaisman (2000)
Banach Center Publications
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This is a survey exposition of the results of [14] on the relationship between the geometric quantization of a Poisson manifold, of its symplectic leaves and its symplectic realizations, and of the results of [13] on a certain kind of super-geometric quantization. A general formulation of the geometric quantization problem is given at the beginning.
Hochschild cohomology theories in white noise analysis.
Léandre, Rémi (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Some results for generalized cochains.
Wainberg, Dorin (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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