paper

Floer Homology, Nielsen Theory and Symplectic Zeta Functions

arXiv:math/0211032

Abstract

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.

18 pages

Floer Homology, Nielsen Theory and Symplectic Zeta Functions · wovepaper