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arxiv: 0712.1797 · v1 · submitted 2007-12-11 · 🧮 math.GT

Lens space surgeries & primitive/Seifert type constructions

classification 🧮 math.GT
keywords primitiveariseconstructionknotslensseifertspacestep
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We show that lens space surgeries on knots in $S^3$ which arise from the primitive/Seifert type construction also arise from the primitive/primitive construction. This is the first step of a three step program to prove the Berge conjecture for tunnel number one knots.

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