Once-punctured tori and knots in lens spaces

Details Once-punctured tori and knots in lens spaces Once-punctured tori and knots in lens spaces

2006-12-18

arxiv.org/abs/math/0612525v2

Mathematics

Geometric Topology

37 pages, 29 figures

Scientific paper

We determine the non-null homologous knots in lens spaces whose exteriors
contain properly embedded once-punctured tori. All such knots arise as
surgeries on the Whitehead link and are grid number 1 in their lens spaces. As
a corollary, we classify once-punctured torus bundles that admit a lens space
filling.

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