English

Floer homology of algebraically finite mapping classes

Symplectic Geometry 2007-05-23 v2 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0204032,
  title  = {Floer homology of algebraically finite mapping classes},
  author = {Ralf Gautschi},
  journal= {arXiv preprint arXiv:math/0204032},
  year   = {2007}
}

Comments

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