Surgery descriptions and volumes of berge knotsi: Large valume berge knots

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Abstract

By obtaining surgery descriptions of knots which lie on the genus one fiber of the trefoil or figure eight knot, we show that these include hyperbolic knots with arbitrarily large volume. These knots admit lens space surgeries and form two families of Berge knots. By way of tangle descriptions we also obtain surgery descriptions for these knots on minimally twisted chain links.

Original languageEnglish (US)
Pages (from-to)1077-1097
Number of pages21
JournalJournal of Knot Theory and its Ramifications
Volume17
Issue number9
DOIs
StatePublished - Sep 1 2008

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Keywords

  • Berge knots
  • Chain link
  • Lens space
  • Surgery description
  • Volume

ASJC Scopus subject areas

  • Algebra and Number Theory

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