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| I will talk about Reeb flows on the universally tight RP^3. If it admits a pair of periodic orbits forming a Hopf link $L$ and satisfying a certain non-resonance condition then there exist infinitely many periodic orbits with prescribed linking numbers with the components of $L$. The proof of this result makes use of contact homology in the complement of $L$. No global surface of section is assumed to exist. This generalizes Poincar\acute{e}-Birkhoff, so it has a natural application to the CPR3BP. This is joint work with U.
Hryniewicz and A. Momin. |
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