12 citations · 24 across the 7 of their papers we have counts for
7 papers
The boundary of a fibered face of the magic 3-manifold and the asymptotic behavior of the minimal pseudo-Anosovs dilatations
Eiko Kin, Mitsuhiko Takasawa
Let be the minimal dilatation of pseudo-Anosovs defined on an orientable surface of genus with punctures. Tsai proved that for any fixed , the logarithm…
Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior
Eiko Kin, Sadayoshi Kojima, Mitsuhiko Takasawa
This paper concerns the set of pseudo-Anosovs which occur as monodromies of fibrations on manifolds obtained from the magic 3-manifold by Dehn filling three…
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…
Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior
Eiko Kin, Mitsuhiko Takasawa
Let be the minimal dilatation for pseudo-Anosovs on a closed surface of genus and let be the minimal dilatation for pseudo-Anosovs on with orientable…
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…
Pseudo-Anosov braids with small entropy and the magic 3-manifold
Eiko Kin, Mitsuhiko Takasawa
We consider a hyperbolic surface bundle over the circle with the smallest known volume among hyperbolic manifolds having 3 cusps, so called "the magic manifold". We compute the ent…