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

Research output: Contribution to journalArticle

15 Citations (Scopus)

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 2008

Fingerprint

Surgery
Knot
Hyperbolic Knot
Trefoil
Lens Space
Tangles
Figure
Genus
Fiber

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Surgery descriptions and volumes of berge knotsi : Large valume berge knots. / Baker, Kenneth.

In: Journal of Knot Theory and its Ramifications, Vol. 17, No. 9, 09.2008, p. 1077-1097.

Research output: Contribution to journalArticle

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