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  • 53-XX Differential geometry
  • 53Dxx Symplectic geometry, contact geometry
  • 53D42 Symplectic field theory; contact homology

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; 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
  • 53D37 Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category
  • 53D40 Floer homology and cohomology, symplectic aspects
  • 53D42 Symplectic field theory; contact homology
  • 53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
  • 53D50 Geometric quantization
  • 53D55 Deformation quantization, star products
  • 53D99 None of the above, but in this section
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