2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65523We 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 pagesSymplectic GeometryAlgebraic TopologyDynamical Systems53D40; 37J10; 37C30; 57Q10text