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math.SG2013★ 2 cited
Symplectic embeddings of polydisks
Richard Hind, Samuel Lisi
In this note, we obtain new obstructions to symplectic embeddings of a product of disks (a polydisk) into a 4-dimensional ball. The polydisk P(r,s) is the product of the disk of ar…
math.SG2006
Homoclinic Orbits and Lagrangian Embeddings
Samuel T. Lisi
This paper introduces techniques of symplectic topology to the study of homoclinic orbits in Hamiltonian systems. The main result is a strong generalization of homoclinic existence…