The structure of Fedosov supermanifolds

DOI10.1016/j.geomphys.2009.02.001zbMath1172.53057OpenAlexW2070326815MaRDI QIDQ2270502

Jaime Muñoz Masqué, José A. Vallejo, Juan Monterde

Publication date: 28 July 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.02.001

zbMATH Keywords

superspacesupermanifoldsFedosov quantizationconnexionodd and even structures

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55)

Related Items (1)

Symplectic scalar curvature on the supermanifold of differential forms

Cites Work

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• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Deformation theory and quantization. I: Deformations of symplectic structures
• Fedosov manifolds
• On the structure of DeWitt supermanifolds
• Connections and splittings of super-manifolds
• A simple geometrical construction of deformation quantization
• Divergence operators and odd Poisson brackets
• A characterization of graded symplectic structures
• Graded Poisson structures on the algebra of differential forms
• FEDOSOV SUPERMANIFOLDS: BASIC PROPERTIES AND THE DIFFERENCE IN EVEN AND ODD CASES
• SYMPLECTIC GEOMETRIES ON SUPERMANIFOLDS
• Some Curvature Properties of Locally Conformal Kahler Manifolds
• On higher order relations in Fedosov supermanifolds
• Constant Holomorphic Curvature

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