English

Epimorphisms between 2-bridge link groups

Geometric Topology 2009-04-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0904.1856,
  title  = {Epimorphisms between 2-bridge link groups},
  author = {Tomotada Ohtsuki and Robert Riley and Makoto Sakuma},
  journal= {arXiv preprint arXiv:0904.1856},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T12:50:33.751Z