THE COVARIANT PICARD GROUPOID IN DIFFERENTIAL GEOMETRY

DOI10.1142/S0219887806001314zbMath1135.53061arXivmath-ph/0509054WikidataQ115245502 ScholiaQ115245502MaRDI QIDQ5484708

Stefan Waldmann

Publication date: 21 August 2006

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0509054

zbMATH Keywords

differential geometryMorita equivalenceHopf algebra actionsPicard groupoids

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Deformation quantization, star products (53D55)

Related Items (1)

Classification of invariant star products up to equivariant Morita equivalence on symplectic manifolds

Cites Work

• The Picard groupoid in deformation quantization
• Morita equivalence of Poisson manifolds
• Deformation theory and quantization. I: Deformations of symplectic structures
• Morita equivalence for rings with involution
• Bimodule deformations, Picard groups and contravariant connections
• The characteristic classes of Morita equivalent star products on symplectic manifolds
• The \(H\)-covariant strong Picard groupoid
• Completely positive inner products and strong Morita equivalence
• Isomorphisms of algebras of smooth functions revisited
• Lifting group actions in fibre bundles
• The Cohomology of Differentiable Transformation Groups
• Introduction to bicategories
• STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION
• On isomorphisms of algebras of smooth functions
• Quantization and unitary representations
• Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization.

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