# Rabinowitz Floer homology and symplectic homology

@article{Cieliebak2009RabinowitzFH, title={Rabinowitz Floer homology and symplectic homology}, author={Kai Cieliebak and Urs Frauenfelder and Alexandru Oancea}, journal={arXiv: Symplectic Geometry}, year={2009} }

The Rabinowitz-Floer homology groups $RFH_*(M,W)$ are associated to an exact embedding of a contact manifold $(M,\xi)$ into a symplectic manifold $(W,\omega)$. They depend only on the bounded component $V$ of $W\setminus M$. We construct a long exact sequence in which symplectic cohomology of $V$ maps to symplectic homology of $V$, which in turn maps to Rabinowitz-Floer homology $RFH_*(M,W)$, which then maps to symplectic cohomology of $V$. We compute $RFH_*(ST^*L,T^*L)$, where $ST^*L$ is the…

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