Event

Talk
Homoclinic points and Floer homology
Dr. Sonja Hohloch (Stanford)
13 Dec 2010, 16:30 – 17:30

Homoclinic points are the intersection points of the stable and unstable manifold of a hyperbolic fixed point. The existence of transverse homoclinic points was discovered by Poincare around 1890 when he worked on the n-body problem.
Floer homology is a quite recent concept in symplectic geometry and Hamiltonian dynamics. It provides important symplectic invariants and existence results for periodic Hamiltonian orbits.
We link both topics by constructing a Floer homology generated by homoclinic points. Then we will discuss some properties like invariance, flux and growth under iteration.