Fedosov manifolds

DOI10.1006/aima.1998.1727zbMath0945.53047arXivdg-ga/9707024OpenAlexW4213260394MaRDI QIDQ1269469

Vladimir S. Retakh, Israel M. Gel'fand, Mikhail A. Shubin

Publication date: 20 September 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9707024

zbMATH Keywords

curvature symplectic connection Fedosov manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05)

Related Items (55)

Spectral geometry of symplectic spinors ⋮ Transversely symplectic Dirac operators on transversely symplectic foliations ⋮ The eigenvalue equation for a 1-D Hamilton function in deformation quantization ⋮ Remarks on generalized Fedosov algebras ⋮ Nearly para-Kähler geometry on Lie groups ⋮ INTEGRATION MEASURE AND EXTENDED BRST-COVARIANT QUANTIZATION ⋮ Cohomology of the de Rham complex twisted by the oscillatory representation ⋮ FEDOSOV SUPERMANIFOLDS II: NORMAL COORDINATES ⋮ Flat affine symplectic Lie groups ⋮ Complex of twistor operators in symplectic spin geometry ⋮ Connections on contact manifolds and contact twistor space ⋮ Lagrangian distributions and connections in multisymplectic and polysymplectic geometry ⋮ Getzler symbol calculus and deformation quantization ⋮ Conformally Fedosov manifolds ⋮ Noncommutative geometry and deformation quantization in the quantum Hall fluids with inhomogeneous magnetic fields ⋮ The Ambrose-Singer theorem for general homogeneous manifolds with applications to symplectic geometry ⋮ Dimensional curvature identities in Fedosov geometry ⋮ The Fedosov manifolds and non-Lagrangian monopole-type systems ⋮ Symplectic scalar curvature on the supermanifold of differential forms ⋮ Conformal Fedosov structures and spaces ⋮ Quantization: Deformation and/or functor? ⋮ Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies, and multicomponent Hunter-Saxton equations ⋮ Deformation quantization of almost Kähler models and Lagrange-Finsler spaces ⋮ SEIBERG–WITTEN EQUATIONS FROM FEDOSOV DEFORMATION QUANTIZATION OF ENDOMORPHISM BUNDLE ⋮ Calculus on symplectic manifolds ⋮ Interaction of Codazzi couplings with (para-)Kähler geometry ⋮ The algebraic index theorem and deformation quantization of Lagrange-Finsler and Einstein spaces ⋮ Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler ⋮ INVOLUTION IN QUANTIZED ENDOMORPHISM BUNDLE AND REALITY OF NONCOMMUTATIVE GRAVITY ACTIONS ⋮ Field theory with coordinate dependent noncommutativity ⋮ Lagrange–Fedosov nonholonomic manifolds ⋮ Flat pencils of symplectic connections and Hamiltonian operators of degree 2 ⋮ Poisson structures in BRST-antiBRST invariant Lagrangian formalism ⋮ Moduli space of Fedosov structures ⋮ Wick type deformation quantization of Fedosov manifolds ⋮ Covariant and equivariant formality theorems ⋮ The geometry of a bi-Lagrangian manifold ⋮ The structure of Fedosov supermanifolds ⋮ On superfield covariant quantization in general coordinates ⋮ Structure of the curvature tensor on symplectic spinors ⋮ SYMPLECTIC GEOMETRIES ON SUPERMANIFOLDS ⋮ Remarks on symplectic sectional curvature ⋮ SUPERFIELD EXTENDED BRST QUANTIZATION IN GENERAL COORDINATES ⋮ MODIFIED TRIPLECTIC QUANTIZATION IN GENERAL COORDINATES ⋮ FEDOSOV SUPERMANIFOLDS: BASIC PROPERTIES AND THE DIFFERENCE IN EVEN AND ODD CASES ⋮ Odd symplectic geometry types on supermanifolds ⋮ SYMPLECTIC CONNECTIONS ⋮ Fedosov and Riemannian supermanifolds ⋮ On the deformation quantization description of Matrix compactifications ⋮ Twistor operators in symplectic geometry ⋮ Fedosov supermanifolds ⋮ Quantization of emergent gravity ⋮ Quantization by cochain twists and nonassociative differentials ⋮ Compatible symplectic connections on a cotangent bundle and the Fedosov quantization ⋮ On invariants of almost symplectic connections

Cites Work

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