53-XX |
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Differential geometry {For differential topology, see 57Rxx; for foundational questions of differentiable manifolds, see 58Axx} |
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53Dxx |
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Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx] |
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53D05 |
Symplectic manifolds (general theory) |
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53D10 |
Contact manifolds (general theory) |
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53D12 |
Lagrangian submanifolds; Maslov index |
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53D15 |
Almost contact and almost symplectic manifolds |
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53D17 |
Poisson manifolds; Poisson groupoids and algebroids |
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53D18 |
Generalized geometries (à la Hitchin) |
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53D20 |
Momentum maps; symplectic reduction |
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53D22 |
Canonical transformations in symplectic and contact geometry |
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53D25 |
Geodesic flows in symplectic geometry and contact geometry |
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53D30 |
Symplectic structures of moduli spaces |
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53D35 |
Global theory of symplectic and contact manifolds [See also 57Rxx] |
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53D37 |
Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category [See also 14J33] |
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53D40 |
Symplectic aspects of Floer homology and cohomology |
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53D42 |
Symplectic field theory; contact homology |
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53D45 |
Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] |
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53D50 |
Geometric quantization |
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53D55 |
Deformation quantization, star products |
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53D99 |
None of the above, but in this section |