Wick quantisation of a symplectic manifold

DOI10.1016/S0920-5632(01)01549-3zbMath1006.53074arXivhep-th/0103091MaRDI QIDQ1602362

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

Publication date: 19 June 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0103091

zbMATH Keywords

Fedosov methodWick star-producttransverse polarisations

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• On the complex projective spaces
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• Fedosov *-products and quantum momentum maps
• A simple geometrical construction of deformation quantization
• Star product for second-class constraint systems from a BRST theory
• Algebraic index theorem for families
• A survey on paracomplex geometry
• Deformations of the algebra of functions of a symplectic manifold. Comparison between Fedosov and de Wilde, Lecomte
• Equivalence of star products
• Wick type deformation quantization of Fedosov manifolds

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