geometry dash apk Yair Minsky (Yale) - Weil-Petersson geometry, Dehn filling and branched surfaces

Geometry of Teichmüller space and mapping class groups
12 April 2018

Abstract: We study pseudo-Anosov mapping classes with bounded normalized Weil-Petersson translation distance (and unbounded genus). In analogy with a result of Farb-Leininger-Margalit for Teichmüller translation distances, we show all such mapping classes fit together into a finite collection of cusped hyperbolic 3-manifolds, where the cusps are filled to become either vertical (transverse to fibers) or horizontal (parallel to fibers). After a reduction using work of Schlenker, Kojima-McShane and Brock-Bromberg, the argument uses the theory of branched surfaces in 3-manifolds. This is joint work with Chris Leininger, Juan Souto and Sam Taylor.

geometry dash apk Yair Minsky (Yale) - Weil-Petersson geometry, Dehn filling and branched surfaces
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