On the the Berge Conjecture for tunnel number one knots.

arXiv: Geometric Topology（2017）

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摘要

In this paper we use an approach based on dynamics to prove that if $Ksubset S^3$ is a tunnel number one knot which admits a Dehn filling resulting in a lens space $L$ then $K$ is either a Berge knot, or $Ksubset S^3$ is $(1,1)$-knot.

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