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2010
- handle: 10670/1.qoe1g5
- Boileau, Michel; Boyer, Steven; Reid, Alan W. et Wang, Shicheng (2010). « Simon’s conjecture for two-bridge knots ». Communications in Analysis and Geometry, 18(1), pp. 121-143.
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http://archipel.uqam.ca/8314/
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http://dx.doi.org/10.4310/CAG.2010.v18.n1.a5
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doi:10.4310/CAG.2010.v18.n1.a5
Mots-clés
2-bridge knots character variety theorySujets proches
Conjecture EthologyCiter ce document
Michel Boileau et al., « Simon’s conjecture for two-bridge knots », UQAM Archipel : articles scientifiques, ID : 10670/1.qoe1g5
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It is conjectured that for each knot K in S3, 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.