Floer homology of algebraically finite mapping classes
Ralf Gautschi
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.
Create a lesson
Related papers
Categorical and Floer-theoretic entropies: comparison and counting conjugacy classes in symplectic mapping class groups
Sangjin Lee
On nearly Lefschetz fibrations and spinal open books
Hyunki Min, Agniva Roy, Luya Wang
Decomposable concordances induce closed immersions
Roger Casals
Topological triviality of exact Lagrangian Cobordisms
Jean-François Barraud
Fiber-Connectivity of Almost-Toric Systems in Four-Dimension
Aerim Si
Partially wrapped contact Fukaya categories of 1-jet spaces
Hanming Liu