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math.GT2010
Constructions of surface bundles with rank two fundamental groups
Kazuhiro Ichihara, Mitsuhiko Takasawa
We give a construction of hyperbolic 3-manifolds with rank two fundamental groups and report an experimental search to find such manifolds. Our manifolds are all surface bundles ov…
math.GT2008★ 2 cited
Entropy vs volume for pseudo-Anosov maps
Eiko Kin, Sadayoshi Kojima, Mitsuhiko Takasawa
We will discuss theoretical and experimental results concerning comparison of entropy of pseudo-Anosov maps and volume of their mapping tori. Recent study of Weil-Petersson geometr…
math.GT2007★ 1 cited
An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids
Eiko Kin, Mitsuhiko Takasawa
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…