Saul Schleimer

  1. Cusp geometry of fibered 3-manifolds.

    Authors: Saul Schleimer, David Futer
    Subjects: Geometric Topology
    Abstract

    Let F be a surface and suppose that \phi: F -> F is a pseudo-Anosov
    homeomorphism fixing a puncture p of F. The mapping torus M = M_\phi\ is
    hyperbolic and contains a maximal cusp C about the puncture p.

  2. Automorphisms of the disk complex.

    Authors: Mustafa Korkmaz, Saul Schleimer
    Subjects: Geometric Topology
    Abstract

    We show that the automorphism group of the disk complex is isomorphic to the
    handlebody group. Using this, we prove that the outer automorphism group of the
    handlebody group is trivial.

  3. Automorphisms of the disk complex.

    Authors: Mustafa Korkmaz, Saul Schleimer
    Subjects: Geometric Topology
    Abstract

    We show that the automorphism group of the disk complex is isomorphic to the
    handlebody group. Using this, we prove that the outer automorphism group of the
    handlebody group is trivial.

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