A Homological Recipe for Pseudo-anosovs

نویسندگان

  • DAN MARGALIT
  • STEVEN SPALLONE
چکیده

We give a simple explicit construction of pseudo-Anosov mapping classes using an improvement of the homological criterion of Casson–Bleiler.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Recipe for Short-word Pseudo-anosovs

Given any generating set of any subgroup G of the mapping class group of a surface, we find an element f with word length bounded by a constant K depending only on the surface, and with the property that the minimal subsurface supporting a power of f is as large as possible for elements of G. In particular, if G contains a pseudo-Anosov map, we find one of word length at most K. We also find ne...

متن کامل

Dynamics of the monodromies of the fibrations on the magic 3-manifold

We study the magic manifold N which is a hyperbolic and fibered 3-manifold. We give an explicit construction of a fiber Fa and its monodromy : Fa → Fa of the fibration associated to each fibered class a of N . Let δg (resp. δ + g ) be the minimal dilatation of pseudo-Anosovs (resp. pseudo-Anosovs with orientable invariant foliations) defined on an orientable closed surface of genus g. As a cons...

متن کامل

L-cut splitting of translation surfaces and non-embedding of pseudo-Anosovs (in genus two)

We introduce a concept of a pair of parallel L-cuts on a translation surface, conjecture existence of such pairs for surfaces of genus g > 1, and find them for g = 2. We discuss applications to genus reducing decomposition of surfaces and to pseudo-Anosov maps (concerning their abelian-Nielsen equivalence classes and non-embedding into toral automorphisms). In particular, we provide a negative ...

متن کامل

Small dilatation pseudo-Anosovs and 3–manifolds

The main result of this paper is a universal finiteness theorem for the set of all small dilatation pseudo-Anosov homeomorphisms φ : S → S, ranging over all surfaces S. More precisely, we consider pseudo-Anosovs φ : S → S with |χ(S)| log(λ(φ)) bounded above by some constant, and we prove that, after puncturing the surfaces at the singular points of the stable foliations, the resulting set of ma...

متن کامل

A Note on Acylindrical Hyperbolicity of Mapping Class Groups

The aim of this note is to give the simplest possible proof that Mapping Class Groups of closed hyperbolic surfaces are acylindrically hyperbolic, and more specifically that their curve graphs are hyperbolic and that pseudo-Anosovs act on them as loxodromic WPDs.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006