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math.SG2009
Duality in filtered Floer-Novikov complexes
Michael Usher
We prove that a certain bilinear pairing (analagous to the Poincare-Lefschetz intersection pairing) between filtered sub- and quotient complexes of a Floer-type chain complex and o…
math.SG2009★ 7 cited
Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds
Michael Usher
We assign to each nondegenerate Hamiltonian on a closed symplectic manifold a Floer-theoretic quantity called its "boundary depth," and establish basic results about how the bounda…