A family of pseudo-Anosov braids whose super summit sets grow exponentially
نویسنده
چکیده
We prove that the size of the super summit set of a braid can grow exponentially with the canonical length of the braid, even for pseudo-Anosov braids.
منابع مشابه
An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids
The dilatation of a pseudo-Anosov braid is a conjugacy invariant. In this paper, we study the dilatation of a special family of pseudo-Anosov braids. We prove an inductive formula to compute their dilatation, a monotonicity and an asymptotic behavior of the dilatation for this family of braids. We also give an example of a family of pseudo-Anosov braids with arbitrarily small dilatation such th...
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تاریخ انتشار 2013