Pseudodifferential operators and a canonical operator in general symplectic manifolds. (English) Zbl 0554.58048

Karasev, M. V.; Maslov, V. P.

Math. USSR, Izv. 23, 277-305 (1984).

Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 47, No.5, 999-1029 (Russian) (1983; Zbl 0538.58035).

MSC:

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

Keywords:

generalised symplectic manifolds; coherent global sheaf; quantisation condition; Cech cocycle

Citations:

Zbl 0538.58035