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Künneth Formula in Rabinowitz Floer homology

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 Künneth formula for Rabinowitz Floer homology.

preprint2012arXivOpen access
Jungsoo Kang
math.SGmath.DS
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Jungsoo Kang

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