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

Masaharu Ishikawa; Keisuke Nemoto

doi:10.32917/hmj/1471024946

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

Masaharu Ishikawa, Keisuke Nemoto

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	149-162
Number of pages	14
Journal	Hiroshima Mathematical Journal
Volume	46
Issue number	2
DOIs	https://doi.org/10.32917/hmj/1471024946
Publication status	Published - 2016 Jul
Externally published	Yes

Keywords

Complexity
Hyperbolic volume
Triangulations
Two-bridge links

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.32917/hmj/1471024946

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abstract = "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.",

keywords = "Complexity, Hyperbolic volume, Triangulations, Two-bridge links",

author = "Masaharu Ishikawa and Keisuke Nemoto",

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AU - Nemoto, Keisuke

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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

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

Abstract

Keywords

ASJC Scopus subject areas

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