A Floer fundamental group

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.

38 pages. (added a quick discussion of the Morse-stable case)

Cited by in corpus (4)

• The degenerate special Lagrangian equation
• The number of Hamiltonian fixed points on symplectically aspherical manifolds
• The fundamental group of a rigid Lagrangian cobordism
• Floer-Novikov fundamental group and small flux symplectic isotopies