Positive topological entropy of positive contactomorphisms

@article{Dahinden2018PositiveTE,
  title={Positive topological entropy of positive contactomorphisms},
  author={Lucas Dahinden},
  journal={arXiv: Symplectic Geometry},
  year={2018}
}
  • Lucas Dahinden
  • Published 30 June 2018
  • Mathematics
  • arXiv: Symplectic Geometry
A positive contactomorphism of a contact manifold $M$ is the end point of a contact isotopy on $M$ that is always positively transverse to the contact structure. Assume that $M$ contains a Legendrian sphere $\Lambda$, and that $(M,\Lambda)$ is fillable by a Liouville domain $(W,\omega)$ with exact Lagrangian $L$ such that $\omega|_{\pi_2(W,L)}=0$. We show that if the exponential growth of the action filtered wrapped Floer homology of $(W,L)$ is positive, then every positive contactomorphism of… 

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