PSEUDODIFFERENTIAL OPERATORS AND A CANONICAL OPERATOR IN GENERAL SYMPLECTIC MANIFOLDS

DOI10.1070/IM1984V023N02ABEH001772zbMath0554.58048OpenAlexW2086576840MaRDI QIDQ3217315

Mikhail V. Karasev, V. P. Maslov

Publication date: 1984

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1984v023n02abeh001772

zbMATH Keywords

Cech cocyclecoherent global sheafgeneralised symplectic manifoldsquantisation condition

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Obstruction theory in algebraic topology (55S35) Sheaf cohomology in algebraic topology (55N30) Pseudodifferential and Fourier integral operators on manifolds (58J40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (4)

Pseudodifferential operators on \(SU(2)\) ⋮ Asymptotic quantization for solution manifolds of some infinite dimensional Hamiltonian systems ⋮ States in the Hilbert space formulation and in the phase space formulation of quantum mechanics ⋮ Weyl manifolds and deformation quantization

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