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• W3096008732 abstract "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 with the property that drilling out this set of curves results in one of a finite number of cusped hyperbolic 3–manifolds. Moreover, the set of resulting manifolds depends only on the bound for normalized translation length. This gives a Weil–Petersson analog of a theorem of Farb–Leininger–Margalit [9] about Teichmüller translation length. We also prove a complementary result that explains the necessity of removing level curves by producing new estimates for the Weil–Petersson translation length of compositions of pseudo-Anosov mapping classes and arbitrary powers of a Dehn twist." @default.
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• W3096008732 date "2021-01-01" @default.
• W3096008732 modified "2023-10-09" @default.
• W3096008732 title "Weil–Petersson translation length and manifolds with many fibered fillings" @default.
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• W3096008732 doi "https://doi.org/10.1016/j.aim.2020.107457" @default.
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