### 抄録

We give upper bounds of the Matveev complexities of two-bridge link complements by constructing their spines explicitly. In particular, we determine the complexities for an infinite sequence of two-bridge links corresponding to the continued fractions of the form [2, 1,…, 1, 2]. We also give upper bounds for the 3-manifolds obtained as meridian-cyclic branched coverings of the 3-sphere along two-bridge links.

元の言語 | English |
---|---|

ページ（範囲） | 149-162 |

ページ数 | 14 |

ジャーナル | Hiroshima Mathematical Journal |

巻 | 46 |

発行部数 | 2 |

出版物ステータス | Published - 2016 7 1 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Geometry and Topology

### これを引用

*Hiroshima Mathematical Journal*,

*46*(2), 149-162.

**Construction of spines of two-bridge link complements and upper bounds of their Matveev complexities.** / Ishikawa, Masaharu; Nemoto, Keisuke.

研究成果: Article

*Hiroshima Mathematical Journal*, 巻. 46, 番号 2, pp. 149-162.

}

TY - JOUR

T1 - Construction of spines of two-bridge link complements and upper bounds of their Matveev complexities

AU - Ishikawa, Masaharu

AU - Nemoto, Keisuke

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We give upper bounds of the Matveev complexities of two-bridge link complements by constructing their spines explicitly. In particular, we determine the complexities for an infinite sequence of two-bridge links corresponding to the continued fractions of the form [2, 1,…, 1, 2]. We also give upper bounds for the 3-manifolds obtained as meridian-cyclic branched coverings of the 3-sphere along two-bridge links.

AB - We give upper bounds of the Matveev complexities of two-bridge link complements by constructing their spines explicitly. In particular, we determine the complexities for an infinite sequence of two-bridge links corresponding to the continued fractions of the form [2, 1,…, 1, 2]. We also give upper bounds for the 3-manifolds obtained as meridian-cyclic branched coverings of the 3-sphere along two-bridge links.

KW - Complexity

KW - Hyperbolic volume

KW - Triangulations

KW - Two-bridge links

UR - http://www.scopus.com/inward/record.url?scp=84982102963&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84982102963&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84982102963

VL - 46

SP - 149

EP - 162

JO - Hiroshima Mathematical Journal

JF - Hiroshima Mathematical Journal

SN - 0018-2079

IS - 2

ER -