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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:classical_mechanics
gptkb:mirror_symmetry
quantum mechanics
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gptkbp:definedIn
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smooth manifolds equipped with a closed, non-degenerate 2-form
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gptkbp:dimensions
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even
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gptkbp:example
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complex projective space
cotangent bundle of a manifold
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gptkbp:field
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differential geometry
mathematical physics
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https://www.w3.org/2000/01/rdf-schema#label
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symplectic manifolds
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gptkbp:property
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Darboux's theorem applies
do not admit local invariants
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gptkbp:relatedTo
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gptkb:Hamiltonian_mechanics
gptkb:Poisson_manifolds
Kähler manifolds
contact manifolds
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gptkbp:structure
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symplectic form
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gptkbp:studiedBy
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gptkb:André_Weil
gptkb:Vladimir_Arnold
gptkb:Jean-Marie_Souriau
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gptkbp:bfsParent
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gptkb:Riemannian_manifolds
gptkb:Gromov-Witten_invariants
gptkb:Quantum_cohomology
gptkb:Gromov's_non-squeezing_theorem
gptkb:Gromov–Witten_invariant
gptkb:Gromov–Witten_theory
gptkb:The_Weyl_Calculus_and_the_Quantization_of_Symplectic_Manifolds
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gptkbp:bfsLayer
|
6
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