Weil-Petersson translation length and manifolds with many fibered fillings

24 Jan 2020 Leininger Christopher J. Minsky Yair N. Souto Juan Taylor Samuel J.

We prove that any mapping torus of a pseudo-Anosov mapping class with bounded normalized Weil-Petersson translation length contains a finite set of transverse and level closed curves, and drilling out this set of curves results in one of a finite number of cusped hyperbolic 3-manifolds. The number of manifolds in the finite list depends only on the bound for normalized translation length... (read more)

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  • GEOMETRIC TOPOLOGY
  • COMPLEX VARIABLES
  • DIFFERENTIAL GEOMETRY