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< 53Cxx | 53-XX | 53Zxx >
53-XX Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}
53Dxx Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
53D05   Symplectic manifolds, general
53D10   Contact manifolds, general
53D12   Lagrangian submanifolds; Maslov index
53D15   Almost contact and almost symplectic manifolds
53D17   Poisson manifolds; Poisson groupoids and algebroids
53D18   Generalized geometries (à la Hitchin)
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 [See also 57Rxx]
53D37   Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category [See also 14J33]
53D40   Floer homology and cohomology, symplectic aspects
53D42   Symplectic field theory; contact homology
53D45   Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35]
53D50   Geometric quantization
53D55   Deformation quantization, star products
53D99   None of the above, but in this section
< 53Cxx | 53-XX | 53Zxx >
American Mathematical Society