2002/04/02 by Ralf Gautschi, Gautschi, Ralf · 1 citation
Mathematics · #53D40 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53D40
paper · pdf · doi:10.48550/arxiv.math/0204032
36 pages, 8 figures, revised version April 25, 2002
openalex publication_date 2002/04/02 · arxiv created 2002/04/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.