Floer Homology, Nielsen Theory and Symplectic Zeta Functions

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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.
18 pages

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Symplectic Geometry, Algebraic Topology, Dynamical Systems, 53D40; 37J10; 37C30; 57Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/65523

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211032
 http://arxiv.org/abs/math/0211032

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arXiv