Epimorphisms between 2-bridge link groups

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.

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

References in corpus (3)

• Non-zero degree maps between $2n$-manifolds
• On the Classification of Rational Knots
• Non-zero degree maps between 3-manifolds

Cited by in corpus (6)

• Twisted Alexander polynomials and a partial order on the set of prime knots
• Simon's conjecture for 2-bridge knots
• Twisted Alexander polynomials of 2-bridge knots associated to metacyclic representations
• Knot Group Epimorphisms, II
• A partial order on the set of prime knots with up to 11 crossings
• On standard forms of 1--dominations between knots with same Gromov volumes