Floer-like complexes for surfaces, maximally unlinked braids, and finite energy foliations

Princeton/IAS Symplectic Geometry Seminar
Topic:Floer-like complexes for surfaces, maximally unlinked braids, and finite energy foliations
Speaker:Barney Bramham
Affiliation:Ruhr-Universit├Ąt Bochum
Date:Monday, March 23
Time/Room:9:30am - 10:30am/Fine 801, Princeton University

In this talk I will present an approach to constructing finite energy foliations by pseudo-holomorphic curves with prescribed asymptotic orbits in the symplectization of a mapping torus. The idea is that so called maximally unlinked braids of periodic orbits support a Floer-like chain complex. The concept of unlinkedness comes from LeCalvez work on surface homeomorphisms, as I will explain. The upshot is that it allows us to essentially characterize finite energy foliations for mapping tori: also, these chain complexes should be of independent interest. I will draw a lot of pictures.