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arxiv: math/0211032 · v2 · submitted 2002-11-02 · 🧮 math.SG · math.AT· math.DS

Floer Homology, Nielsen Theory and Symplectic Zeta Functions

classification 🧮 math.SG math.ATmath.DS
keywords symplecticfunctionszetafloerhomologynielsentheoryasymptotic
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We describe a connection between symplectic Floer homology for symplectomorphisms of surface and Nielsen fixed point theory. A new zeta functions and asymptotic invariant of symplectic origin are defined. We show that special values of symplectic zeta functions are Reidemeister torsions.

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