Lens space surgeries & primitive/Seifert type constructions

Details Lens space surgeries & primitive/Seifert type constructions Lens space surgeries & primitive/Seifert type constructions

2007-12-11

arxiv.org/abs/0712.1797v1

Mathematics

Geometric Topology

18 pages, 8 figures

Scientific paper

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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