Open Access
March, 2003 Floer homology of algebraically finite mapping classes
Ralf Gautschi
J. Symplectic Geom. 1(4): 715-765 (March, 2003).


Using sympectic Floer homology, Seidel associated a module to each mapping class of a compact connected oriented two-manifold of genus bigger than one. We compute this module for mapping classes which do not have any pseudo-Anosov components in the sense of Thurston's theory of surface diffeomorphisms. The Nielsen-Thurston representative of such a class is shown to be monotone. The formula for the Floer homology is obtained for a topological separation of fixed points and a separation mechanism for Floer connecting orbits. As examples, we consider the geometric monodroy of isolated plane curve singularities. In this case, the formula for the Floer homology is particularly simple.


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Ralf Gautschi . "Floer homology of algebraically finite mapping classes." J. Symplectic Geom. 1 (4) 715 - 765, March, 2003.


Published: March, 2003
First available in Project Euclid: 17 August 2004

zbMATH: 1084.53075
MathSciNet: MR2039162

Rights: Copyright © 2002 International Press of Boston

Vol.1 • No. 4 • March, 2003
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