Simon's conjecture for 2-bridge knots

Details Simon's conjecture for 2-bridge knots Simon's conjecture for 2-bridge knots

2009-03-17

arxiv.org/abs/0903.2898v1

Mathematics

Geometric Topology

18 pages

Scientific paper

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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