Floer Homology, Relative Braid Classes, and Low Dimensional Dynamics
نویسندگان
چکیده
Floer homology is a powerful variational technique used in Symplectic Geometry to derive a Morse type theory for the Hamiltonian action functional. In two and three dimensional dynamics the topological structures of braids and links can used to distinguish between various types of periodic orbits. Various classes of braids are introduced and Floer type invariants are defined. The definition and basic properties of the different braid invariants that are discussed in this article are obtained in joined work with R.W. Ghrist, J.B. van den Berg and W. Wójcik. In the second part of this article results concerning the relation between the different braid class invariantsare discussed.
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