Homoclinic points and Floer homology
Symplectic Geometry
2017-04-11 v1 Dynamical Systems
Abstract
A new relation between homoclinic points and Lagrangian Floer homology is presented: In dimension two, we construct a Floer homology generated by primary homoclinic points. We compute two examples and prove an invariance theorem. Moreover, we establish a link to the (absolute) flux and growth of symplectomorphisms.
Cite
@article{arxiv.1704.02403,
title = {Homoclinic points and Floer homology},
author = {Sonja Hohloch},
journal= {arXiv preprint arXiv:1704.02403},
year = {2017}
}
Comments
55 pages, 17 figures; In accordance with the journal's copyright, I am making a preprint version of my published paper available on the arXiv