Epimorphisms between 2-bridge link groups

By Tomotada Ohtsuki, Robert F. Riley, Makoto Sakuma. 2009

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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 1 ‐dominating maps among 3‐ manifolds.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d6ccc1b07044c5980089eb44dba83993fd0c3e1d