Wick type deformation quantization of Fedosov manifolds

DOI10.1016/S0550-3213(01)00241-3zbMath0969.81635arXivhep-th/0101032MaRDI QIDQ5937797

Simon L. Lyakhovich, Vasiliy A. Dolgushev, Alexey A. Sharapov

Publication date: 15 July 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0101032

zbMATH Keywords

symplectic manifoldsdeformed superalgebraNewlander-Nirenberg theorem

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70)

Related Items (14)

Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry ⋮ Remarks on generalized Fedosov algebras ⋮ KÄHLER POLARIZATION AND WICK QUANTIZATION OF HAMILTONIAN SYSTEMS SUBJECT TO SECOND-CLASS CONSTRAINTS ⋮ Formal higher-spin theories and Kontsevich-Shoikhet-Tsygan formality ⋮ Characteristic classes of gauge systems ⋮ Quantization of Kähler manifolds ⋮ Wick-type deformation quantization of contact metric manifolds ⋮ A COHOMOLOGICAL CONSTRUCTION OF MODULES OVER FEDOSOV DEFORMATION QUANTIZATION ALGEBRA ⋮ Deformation quantization of almost Kähler models and Lagrange-Finsler spaces ⋮ On the Fedosov deformation quantization beyond the regular Poisson manifolds ⋮ Wick quantization of cotangent bundles over Riemannian manifolds ⋮ String with noncommutative world-sheet and stringy instantons ⋮ Bargmann-Fock sheaves on Kähler manifolds ⋮ Wick quantisation of a symplectic manifold

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