Simon's conjecture for 2-bridge knots

Abstract

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.

18 pages

References in corpus (2)

• Epimorphisms between 2-bridge link groups
• On character varieties, sets of discrete characters, and non-zero degree maps

Cited by in corpus (3)

• A partial order on the set of prime knots with up to 11 crossings
• Knot Groups with Many Killers
• Simon's conjecture for fibered knots