Dynamics of the monodromies of the fibrations on the magic 3-manifold
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چکیده
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 consequence of our result, we obtain the first explicit construction of the following pseudo-Anosovs; a minimizer of δ 7 and conjectural minimizers of δg for large g.
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تاریخ انتشار 2015