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< 53Cxx | 53-XX | 53Exx >
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 theory)
53D10   Contact manifolds (general theory)
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 in symplectic and contact geometry
53D25   Geodesic flows in symplectic geometry and contact geometry
53D30   Symplectic structures of moduli spaces
53D35   Global theory of symplectic and contact manifolds [See also 57Rxx]
53D37   Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category [See also 14J33]
53D40   Symplectic aspects of Floer homology and cohomology
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 | 53Exx >
 
 
American Mathematical Society