Leaf-wise intersections and Rabinowitz Floer homology
Symplectic Geometry
2010-04-06 v3 Dynamical Systems
Abstract
In this article we explain how critical points of a particular perturbation of the Rabinowitz action functional give rise to leaf-wise intersection points in hypersurfaces of restricted contact type. This is used to derive existence and multiplicity results for leaf-wise intersection points in hypersurfaces of restricted contact type in general exact symplectic manifolds. The notion of leaf-wise intersection points was introduced by Moser.
Keywords
Cite
@article{arxiv.0810.3845,
title = {Leaf-wise intersections and Rabinowitz Floer homology},
author = {Peter Albers and Urs Frauenfelder},
journal= {arXiv preprint arXiv:0810.3845},
year = {2010}
}
Comments
18 pages, 1 figure; v3: completely rewritten, improved results