Simon's conjecture for 2-bridge knots
classification
🧮 math.GT
math.GR
keywords
knotsbridgeconjectureknotaffirmativeapplyingcharacterclass
read the original 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.
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