Fedosov quantization on symplectic ringed spaces | Zendy

Izu Vaisman | Zendy

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Fedosov quantization on symplectic ringed spaces

Author(s) -

Izu Vaisman

Publication year - 2002

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1427411

Subject(s) - symplectic geometry , mathematics , poisson manifold , pure mathematics , symplectomorphism , poisson algebra , poisson distribution , quantization (signal processing) , symplectic manifold , symplectic integrator , moment map , algebra over a field , mathematical analysis , poisson bracket , algorithm , statistics , lie algebra

We expose the basics of the Fedosov quantization procedure, placed in thegeneral framework of symplectic ringed spaces. This framework also includessome Poisson manifolds with non regular Poisson structures, presymplecticmanifolds, complex analytic symplectic manifolds, etc.Comment: LaTex, 24 page

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