Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior

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概要

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• We denote by δg (resp. δg+), the minimal dilatation for pseudo-Anosovs (resp. pseudo-Anosovs with orientable invariant foliations) on a closed surface of genus g. This paper concerns the pseudo-Anosovs which occur as monodromies of fibrations on manifolds obtained from the Whitehead sister link exterior W by Dehn filling two cusps, where the fillings are on the boundary slopes of fibers of W. We give upper bounds of δg for g ≡ 0,1,5,6,7,9 (mod 10), δg+ for g ≡ 1,5,7,9 (mod 10). Our bounds improve the previous one given by Hironaka. We note that the monodromies of fibrations on W were also studied by Aaber and Dunfield independently.

著者

• Takasawa Mitsuhiko

  Department Of Mathematical And Computing Sciences Tokyo Institute Of Technology

• Takasawa Mitsuhiko

  Department of Mathematical and Computing Sciences, Tokyo Institute of Technology

• KIN Eiko

  Department of Mathematics, Graduate School of Science, Osaka University

関連論文

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• Numerical Calculation of L2-Torsion Invariants
• L2-torsion invariants and homology growth of a torus bundle over S1
• Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior

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