Simon's conjecture for two-bridge knots

Michel Boileau, Steve Boyer, Alan W. Reid, Shicheng Wang
2010 Communications in analysis and geometry  
It is conjectured that for each knot K in S 3 , 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.
doi:10.4310/cag.2010.v18.n1.a5 fatcat:tghexrhsgfbb7fvwb33nh7qgr4