An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids
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- Kin Eiko
- Department of Mathematical and Computing Sciences Tokyo Institute of Technology
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- Takasawa Mitsuhiko
- Department of Mathematical and Computing Sciences Tokyo Institute of Technology
抄録
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 that the mapping torus obtained from such braid has 2 cusps and has an arbitrarily large volume.
収録刊行物
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- KODAI MATHEMATICAL JOURNAL
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KODAI MATHEMATICAL JOURNAL 31 (1), 92-112, 2008
国立大学法人 東京工業大学理学院数学系
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詳細情報 詳細情報について
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- CRID
- 1390001205273496832
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- NII論文ID
- 130004687884
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- ISSN
- 18815472
- 03865991
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- MRID
- 2414236
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可