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Article Dans Une Revue Communications in Analysis and Geometry Année : 2010

Simon's conjecture for two-bridge knots

Steve Boyer
  • Fonction : Auteur
W. Reid Alan
  • Fonction : Auteur
Shicheng Wang
  • Fonction : Auteur

Résumé

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 two-bridge knots.

Dates et versions

hal-00629322 , version 1 (05-10-2011)

Identifiants

Citer

Michel Boileau, Steve Boyer, W. Reid Alan, Shicheng Wang. Simon's conjecture for two-bridge knots. Communications in Analysis and Geometry, 2010, 18 (1), pp.121-143. ⟨10.4310/CAG.2010.v18.n1.a5⟩. ⟨hal-00629322⟩
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