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

Donghi Lee; Makoto Sakuma

doi:10.1112/plms/pdr036

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arXiv · 1004.2571

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

Donghi Lee·Makoto Sakuma

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Abstract

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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Donghi Lee, Makoto Sakuma. 2011-12-26. Epimorphisms between 2-bridge link groups: Homotopically trivial simple loops on 2-bridge spheres. https://doi.org/10.1112/plms%2Fpdr036

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