Once-punctured tori and knots in lens spaces

Research output: Contribution to journalArticle

4 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)347-399
Number of pages53
JournalCommunications in Analysis and Geometry
Volume19
Issue number2
DOIs
StatePublished - Mar 2011

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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