Prescribing the behavior of Weil-Petersson geodesics in the moduli space of Riemann surfaces

@article{Modami2012PrescribingTB,
  title={Prescribing the behavior of Weil-Petersson geodesics in the moduli space of Riemann surfaces},
  author={Babak Modami},
  journal={arXiv: Geometric Topology},
  year={2012}
}
  • Babak Modami
  • Published 1 December 2012
  • Mathematics
  • arXiv: Geometric Topology
We study Weil-Petersson (WP) geodesics with narrow end invariant and develop techniques to control length-functions and twist parameters along them and prescribe their itinerary in the moduli space of Riemann surfaces. This class of geodesics is rich enough to provide for examples of closed WP geodesics in the thin part of the moduli space, as well as divergent WP geodesic rays with minimal filling ending lamination. Some ingredients of independent interest are the following: A strength… 
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References

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