Characterization of 3-bridge links with infinitely many 3-bridge spheres

Details Characterization of 3-bridge links with infinitely many 3-bridge spheres Characterization of 3-bridge links with infinitely many 3-bridge spheres

2011-05-19

arxiv.org/abs/1105.3792v1

Mathematics

Geometric Topology

21 pages, 15 figures

Scientific paper

The author, in her previous paper, constructed an infinite family of 3-bridge
links each of which admits infinitely many 3-bridge spheres up to isotopy. In
this paper, we prove that if a prime, unsplittable link $L$ in $S^3$ admits
infinitely many 3-bridge spheres up to isotopy then $L$ belongs to the family.

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