Hebrew University topology and geometry seminar

Abstract: The notion of translated points of contactomorphisms of contact manifolds was introduced by Sandon to parallel the theory of fixed points of Hamiltonian diffeomorphisms of symplectic manifolds. She has moreover formulated a version of Arnol'd's conjecture for such points. While the first results on translated points were obtained by means of generating functions, newer results were derived from Rabinowitz Floer homology - a version of Hamiltonian Floer homology for an action functional with a Lagrange multiplier. We describe the construction of this homology theory, and discuss applications to the existence of translated points.