Floer homology of algebraically finite mapping classes
Abstract
Description
We compute the Floer homology of mapping classes which do not have any pseudo-Anosov components in the sense of Thurston's theory of surface diffeomorphisms. The formula for the Floer homology is obtained from a topological separation of fixed points and a separation mechanism for Floer connecting orbits. As examples, we consider the geometric monodromy of isolated plane curve singularities.
36 pages, 8 figures, revised version April 25, 2002
36 pages, 8 figures, revised version April 25, 2002