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math.DG2002★ 2 cited
Symplectic homology and periodic orbits near symplectic submanifolds
Kai Cieliebak, Viktor L. Ginzburg, Ely Kerman
We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has non-vanishing symplectic homology. As a consequen…
math.SG2002
Length minimizing Hamiltonian paths for symplectically aspherical manifolds
Ely Kerman, Francois Lalonde
In this paper we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the…