Alberto Abbondandolo
Estimates and computations in Rabinowitz-Floer homology
Abstract: Rabinowitz-Floer homology is an algebraic invariant associated to a compact
exact symplectic manifold W with convex boundary, which takes into account the periodic
orbits on the boundary of W. It was recently introduced by K. Cieliebak and U. Frauenfelder,
and it has already produced interesting applications both in symplectic topology and in
Hamiltonian dynamics. After describing this invariant and explaining what it is good for,
I will focus on the case in which W is the unit disk bundle in the cotangent bundle of a
closed Riemannian manifold M, and I will explain how Rabinowitz-Floer homology can
be related to the Morse-Bott theory for closed geodesics on M.
This is a joint work with Matthias Schwarz.