Journal of Symplectic Geometry
Volume 11 (2013)
Homoclinic points and Floer homology
Pages: 645 – 701
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.