Communications in Analysis and Geometry
Volume 18 (2010)
Simon’s conjecture for two-bridge knots
Pages: 121 – 143
It is conjectured that for each knot $K$ in $S^3$, thefundamental group of its complement surjects onto onlyfinitely many distinct knot groups. Applying charactervariety theory we obtain an affirmative solution of theconjecture for a class of small knots that includestwo-bridge knots.