Special Session 58: New developments in celestial mechanics and related topics

Floer homology and the restricted three body problem
Otto van Koert
Seoul National University
Korea
Co-Author(s):    Chankyu Joung, Dayung Koh
Abstract:
We discussed several versions of Floer homology, including local Floer homology and symplectic homology, which we apply to study periodic orbits in the restricted three-body problem. We discussed bifurcations Some theoretical results and some numerical results, obtained jointly with Chankyu Joung and Dayung Koh.