Künneth Formula in Rabinowitz Floer homology

Details Künneth Formula in Rabinowitz Floer homology Künneth Formula in Rabinowitz Floer homology

2010-06-04

arxiv.org/abs/1006.0810v1

Mathematics

Symplectic Geometry

23pages, comments are welcome

Scientific paper

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.

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