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KNOTS IN WASHINGTON XXVI; Interconnections between Khovanov, Khovanov-Rozansky and Ozvath-Szabo homology; categorification of skein modules
April 18-20, 2008
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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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 document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawt-26.