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53Dxx - Symplectic geometry, contact geometry

53D05 - Symplectic manifolds, general
53D10 - Contact manifolds, general
53D12 - Lagrangian submanifolds; Maslov index
53D15 - Almost contact and almost symplectic manifolds
53D17 - Poisson manifolds
53D20 - Momentum maps; symplectic reduction
53D22 - Canonical transformations
53D25 - Geodesic flows
53D30 - Symplectic structures of moduli spaces
53D35 - Global theory of symplectic and contact manifolds
53D40 - Floer homology and cohomology, symplectic aspects
53D45 - Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
53D50 - Geometric quantization
53D55 - Deformation quantization, star products
53D99 - Miscellaneous
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