Journal of Symplectic Geometry

Volume 11 (2013)

Number 4

Homoclinic points and Floer homology

Pages: 645 – 701



Sonja Hohloch (Ecole Polytechnique Fédérale de Lausanne, Switzerland)


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.

Published 27 September 2013