A Floer fundamental group
Symplectic Geometry
2019-01-15 v5 Geometric Topology
Abstract
The main purpose of this paper is to provide a description of the fundamental group of a symplectic manifold in terms of Floer theoretic objects. As an application, we show that when counted with a suitable notion of multiplicity, non degenerate Hamiltonian diffeomorphisms have enough fixed points to generate the fundamental group.
Cite
@article{arxiv.1404.3266,
title = {A Floer fundamental group},
author = {Jean-Francois Barraud},
journal= {arXiv preprint arXiv:1404.3266},
year = {2019}
}
Comments
38 pages. (added a quick discussion of the Morse-stable case)