paper

Homoclinic points and Floer homology

arXiv:1704.02403

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.

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