Floer Homology, Nielsen Theory and Symplectic Zeta Functions
Symplectic Geometry
2007-05-23 v2 Algebraic Topology
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.math/0211032,
title = {Floer Homology, Nielsen Theory and Symplectic Zeta Functions},
author = {Alexander Fel'shtyn},
journal= {arXiv preprint arXiv:math/0211032},
year = {2007}
}
Comments
18 pages