Simon's conjecture for 2-bridge knots
Geometric Topology
2009-03-18 v1 Group Theory
Abstract
It is conjectured that for each knot in , the fundamental group of its complement surjects onto only finitely many distinct knot groups. Applying character variety theory we obtain an affirmative solution of the conjecture for a class of small knots that includes 2-bridge knots.
Keywords
Cite
@article{arxiv.0903.2898,
title = {Simon's conjecture for 2-bridge knots},
author = {Michel Boileau and Steve Boyer and Alan W. Reid and Shicheng Wang},
journal= {arXiv preprint arXiv:0903.2898},
year = {2009}
}
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18 pages