Главная

Mladen Bestvina

  1. A Bers-like proof of the existence of train tracks for free group automorphisms.

    Втр, 01/05/2010 - 16:01 — SomNambul
    Authors: Mladen Bestvina
    Subjects: Group Theory
    Abstract

    Using Lipschitz distance on Outer space we give another proof of the train
    track theorem.

  2. A hyperbolic Out(F_n)-complex.

    Чт, 10/29/2009 - 16:01 — SomNambul
    Authors: Mladen Bestvina, Mark Feighn
    Subjects: Group Theory
    Abstract

    For any finite collection $f_i$ of fully irreducible automorphisms of the
    free group $F_n$ we construct a connected $\delta$-hyperbolic
    $Out(F_n)$-complex in which each $f_i$ has positive translation length.

  3. Asymmetry of Outer Space.

    Чт, 10/29/2009 - 16:01 — SomNambul
    Authors: Yael Algom-Kfir, Mladen Bestvina
    Subjects: Group Theory
    Abstract

    We study the asymmetry of the Lipschitz metric d on Outer space. We introduce
    an (asymmetric) Finsler norm that induces d. There is an Out(F_n)-invariant
    potential \Psi on Outer space such that when the Lipschitz norm is corrected by
    the derivative of \Psi, the resulting norm is quasisymmetric.

Math-arch

RSS-материал