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

机译:熵小的封闭表面上的伪Anosovs和Whitehead姐妹链接外部

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摘要

We denote by δ_g (resp. δ~+_g ), 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 δ_g for g = 0,1,5,6,7,9 (mod 10), δ~+_g 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.
机译:我们用δ_g(分别为δ〜+ _g)表示g属封闭曲面上拟Anosovs(具有可定向不变叶型的拟Anosovs)的最小扩张。本文涉及拟Anosovs,它是由Whitehead姐妹链外部W通过Dehn填充两个尖点填充而获得的歧管上的纤维的单峰形式出现的,其中填充位于W纤维的边界坡上。我们给出g的δ_g的上限= 0,1,5,6,7,9(mod 10),对于g = 1,5,7,9(mod 10)的δ+ _g。我们的界限提高了广中给予的范围。我们注意到,Aaber和Dunfield也分别研究了W上纤维的一元性。

著录项

  • 来源
    《Journal of the Mathematical Society of Japan》 |2013年第2期|411-446|共36页
  • 作者

    Eiko KlN; Mitsuhiko TAKASAWA;

  • 作者单位

    Department of Mathematics Graduate School of Science Osaka University Toyonaka Osaka 560-0043, Japan;

    Department of Mathematical and Computing Sciences Tokyo Institute of Technology Ohokayama, Meguro Tokyo 152-8552, Japan;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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