Homotopical dynamics in symplectic topology

Details Homotopical dynamics in symplectic topology Homotopical dynamics in symplectic topology

2005-06-17

arxiv.org/abs/math/0506355v1

Mathematics

Symplectic Geometry

33 pages

Scientific paper

This is mainly a survey of recent work on algebraic ways to ``measure'' moduli spaces of connecting trajectories in Morse and Floer theories as well as related applications to symplectic topology. The paper also contains some new results. In particular, we show that the methods of a previous work (http://fr.arXiv.org/find/math/1/barraud/0/1/0/2004/3/0) continue to work in general symplectic manifolds (without any connectivity conditions) but under the bubbling threshold.

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