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Dynamical zeta functions, Floer homology and categorification
by
Alexander Fel'shtyn
University of Szczecin and Boise State University
We describe the connection between symplectic Floer homology of symplectomorphisms of surface and Nielsen-Thurston theory. Symplectic zeta functions are discussed. A project of a categorification of dynamical zeta functions is proposed. The first indication of a possibility of such categorification is a formula of Milnor's that relates Weil zeta function of a monodromy map to the Alexander polynomial and Ozsvath-Szabo categorification of the Alexander polynomial.
Date received: April 2, 2008
Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cawt-26.