53Dxx

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53Dxx Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx] {Info & Stats}

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• 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