A Floer fundamental group
classification
🧮 math.SG
math.GT
keywords
fundamentalgroupfloerapplicationcounteddegeneratedescriptiondiffeomorphisms
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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.
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