Matches in DBpedia 2014 for { ?s ?p The Arnold–Givental conjecture, named after Vladimir Arnold and Alexander Givental, is a statement on Lagrangian submanifolds. It gives a lower bound on the number of intersection points of L with a Hamiltonian isotopic Lagrangian submanifold which intersects L transversally in terms of the Betti numbers of L.For t ∈ [0, 1], let Ht ∈ C∞(M) be a smooth family of Hamiltonian functions of M and denote by φH the one-time map of the flow of the Hamiltonian vector field XHt of Ht.. }
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- Arnold–Givental_conjecture comment "The Arnold–Givental conjecture, named after Vladimir Arnold and Alexander Givental, is a statement on Lagrangian submanifolds. It gives a lower bound on the number of intersection points of L with a Hamiltonian isotopic Lagrangian submanifold which intersects L transversally in terms of the Betti numbers of L.For t ∈ [0, 1], let Ht ∈ C∞(M) be a smooth family of Hamiltonian functions of M and denote by φH the one-time map of the flow of the Hamiltonian vector field XHt of Ht.".