Once-punctured tori and knots in lens spaces
classification
🧮 math.GT
keywords
lensknotsonce-puncturedspacestoriadmitarisebundles
read the original abstract
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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