Braid Floer homology
نویسندگان
چکیده
منابع مشابه
Braid classes and their Floer homology
Area-preserving diffeomorphisms of a 2-disc can be regarded as time-1 maps of (non-autonomous) Hamiltonian systems on S1×D2. In this 3-dimensional setting we can think of flow-lines of the Hamilton equations as closed braids in the solid torus S1×D2. In the spirit of positive braid classes and flat-knot types as used in [17] and [2] we define braid classes and use Floer’s variational approach [...
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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...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2015
ISSN: 0022-0396
DOI: 10.1016/j.jde.2015.03.022