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Coisotropic reduction from Poisson geometry and deformation quantization is cast into a general and unifying algebraic framework: we introduce the notion of coisotropic triples of algebras for which a reduction can be defined.
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Bénabou, J., Davis, R., Dold, A., Isbell, J., MacLane, S., Oberst, U., Roos, J.-E. (eds.): · 1967
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Bayen, F., Flato, M., Frønsdal, C., Lichnerowicz, A., Sternheimer, D.: · 1978
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Moment maps at the quantum level
Lu, J.-H.: · 1993
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Non-Abelian Reduction in Deformation Quantization
Fedosov, B. V.: · 1998
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Marsden, J. E., Ratiu, T. S.: · 1999
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BRST Cohomology and Phase Space Reduction in Deformation Quantization
Bordemann, M., Herbig, H.-C., Waldmann, S.: · 2000
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Algebraic Rieffel Induction, Formal Morita Equivalence and Applications to Deformation Quantization
Bursztyn, H., Waldmann, S.: · 2001
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Semiclassical geometry of quantum line bundles and Morita equivalence of star products
Bursztyn, H.: · 2002
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The characteristic classes of Morita equivalent star products on symplectic manifolds
Bursztyn, H., Waldmann, S.: · 2002
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Natural Star Products on Symplectic Manifolds and Quantum Moment Maps
Gutt, S., Rawnsley, J.: · 2003
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(Bi)Modules, morphismes et réduction des star-produits : le cas symplectique, feuilletages et obstructions
Bordemann, M.: · 2004
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Bimodule deformations, Picard groups and contravariant connections
Bursztyn, H., Waldmann, S.: · 2004
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Picard groups in Poisson geometry
Bursztyn, H., Weinstein, A.: · 2004
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On the Integration of Poisson Manifolds, Lie Algebroids, and Coisotropic Submanifolds
Cattaneo, A. S.: · 2004
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Jansen, S., Waldmann, S.: · 2006
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Relative formality theorem and quantisation of coisotropic submanifolds
Cattaneo, A. S., Felder, G.: · 2007
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An algebraic theory of tricategories
Gruski, N.: · 2007
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Poisson-Geometrie und Deformationsquantisierung. Eine Einführung
Waldmann, S.: · 2007
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Involutions and Representations for Reduced Quantum Algebras
Gutt, S., Waldmann, S.: · 2010
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Morita equivalence and characteristic classes of star products
Burzstyn, H., Dolgushev, V., Waldmann, S.: · 2012
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Coisotropic Submanifolds in Poisson Geometry and Branes in the Poisson Sigma Model
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Higher Operads, Higher Categories
Leinster, T.: · 2004
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Some remarks on 𝔤 \mathfrak{g} -invariant Fedosov star products and quantum momentum mappings
Müller-Bahns, M. F., Neumaier, N.: · 2004
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Momentum Maps and Hamiltonian Reduction
Ortega, J.-P., Ratiu, T. S.: · 2004
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(Bi)Modules, morphisms, and reduction of star-products: the symplectic case, foliations, and obstructions
Bordemann, M.: · 2005
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A homological approach to singular reduction in deformation quantization
Bordemann, M., Herbig, H.-C., Pflaum, M. J.: · 2005
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Classification of Invariant Star Products up to Equivariant Morita Equivalence on Symplectic Manifolds
Jansen, S., Neumaier, N., Schaumann, G., Waldmann, S.: · 2012
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Poisson reduction
Esposito, C.: · 2013
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Picard groups of Poisson manifolds
Bursztyn, H., Fernandes, R. L.: · 2015
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Classification of Equivariant Star Products on Symplectic Manifolds
Reichert, T., Waldmann, S.: · 2016
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Characterstic classes of star products on Marsden-Weinstein reduced symplectic manifolds
Reichert, T.: · 2017
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A proof of Tsygan’s formality conjecture for Hamiltonian actions
Esposito, C., de Kleijn, N., Schnitzer, J.: · 2018
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Some comments on coisotropic triples
Ciccoli, N.: · 2019
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