Floer homology of algebraically finite mapping classes

Details Floer homology of algebraically finite mapping classes Floer homology of algebraically finite mapping classes

2002-04-02

arxiv.org/abs/math/0204032v2

Mathematics

Symplectic Geometry

36 pages, 8 figures, revised version April 25, 2002

Scientific paper

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.

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