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
Existence of a positive hyperbolic orbit in three-dimensional Reeb flows
Taisuke Shibata
Symplectic Yang-Mills Theory
Jonathan Delgado, Li-Sheng Tseng, Jiawei Zhou
Moment Lagrangians, unobstructedness and symplectic groupoids
Yan-Lung Leon Li
The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States
Yusaku Tiba
Extended Future Tube Conjecture for Unipotent Subgroups
Maxim Kukol
Shifted Contact Structures on Exact Symplectic Fibrations
Mehmet Fırat Arıkan, Kadri İlker Berktav, Efe İzbudak