Epimorphisms between 2-bridge link groups: Homotopically trivial simple loops on 2-bridge spheres

Details Epimorphisms between 2-bridge link groups: Homotopically trivial simple loops on 2-bridge spheres Epimorphisms between 2-bridge link groups: Homotopically trivial simple loops on 2-bridge spheres

2010-04-15

arxiv.org/abs/1004.2571v5

Mathematics

Geometric Topology

39 pages, 4 figures; updated version, incorporating the referee's comments; to appear in Proceedings of the London Mathematica

Scientific paper

We give a complete characterization of those essential simple loops on
2-bridge spheres of 2-bridge links which are null-homotopic in the link
complements. By using this result, we describe all
upper-meridian-pair-preserving epimorphisms between 2-bridge link groups.

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