Michael Entov (Technion – Israel Institue of Technology)
Abstract: I will discuss how a filtered version of the Legendrian contact homology (a major object of study in contact topology) can be used to obtain new information about contact Hamiltonian flows on contact manifolds. The applications concern conformal factors of contactomorphisms and trajectories of contact Hamiltonian flows connecting two disjoint Legendrian submanifolds or starting on one of them and asymptotic to the other.
This is a joint work with L.Polterovich.