English

K\"unneth Formula in Rabinowitz Floer homology

Symplectic Geometry 2013-11-28 v2 Dynamical Systems

Abstract

Rabinowitz Floer homology has been investigated on a submanifold of contact type. The contact condition, however, is quite restrictive. For example, a product of contact hypersurfaces is rarely of contact type. In this article, we study Rabinowitz Floer homology for a class of non-contact submanifolds. We show for this example that there are infinitely many leafwise intersection points by proving a K\"unneth formula for Rabinowitz Floer homology.

Keywords

Cite

@article{arxiv.1006.0810,
  title  = {K\"unneth Formula in Rabinowitz Floer homology},
  author = {Jungsoo Kang},
  journal= {arXiv preprint arXiv:1006.0810},
  year   = {2013}
}

Comments

22 pages, minor corrections, to appear in CVPDE