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53Dxx

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Symplectic geometry, contact geometry

[See also 37-xx]
  • 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 [See also 57Rxx]
  • 53D40 Floer homology and cohomology, symplectic aspects
  • 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