Epimorphisms between 2-bridge link groups

Details Epimorphisms between 2-bridge link groups Epimorphisms between 2-bridge link groups

2009-04-12

arxiv.org/abs/0904.1856v1

Geom. Topol. Monogr. 14 (2008) 417-450

Mathematics

Geometric Topology

This is the version published by Geometry & Topology Monographs on 29 April 2008

Scientific paper

10.2140/gtm.2008.14.417

We give a systematic construction of epimorphisms between 2-bridge link groups. Moreover, we show that 2-bridge links having such an epimorphism between their link groups are related by a map between the ambient spaces which only have a certain specific kind of singularity. We show applications of these epimorphisms to the character varieties for 2-bridge links and pi_1-dominating maps among 3-manifolds.

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