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

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.

preprint2015arXivOpen access
Masaharu IshikawaKeisuke Nemoto
math.GT
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Open access2 authors1 topic
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Masaharu IshikawaKeisuke Nemoto

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