Floer Homology, Nielsen Theory and Symplectic Zeta Functions

Details Floer Homology, Nielsen Theory and Symplectic Zeta Functions Floer Homology, Nielsen Theory and Symplectic Zeta Functions

2002-11-02

arxiv.org/abs/math/0211032v2

Mathematics

Symplectic Geometry

18 pages

Scientific paper

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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