Lutz twist and contact surgery

Fan Ding, Hansjörg Geiges, András I. Stipsicz

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

For any knot T transverse to a given contact structure on a 3-manifold, we exhibit a Legendrian two-component link L = L1 (square cup) L2 such that T equals the transverse push-off of L1 and contact (+1)-surgery on L has the same effect as a Lutz twist along T.

Original languageEnglish
Pages (from-to)57-64
Number of pages8
JournalAsian Journal of Mathematics
Volume9
Issue number1
DOIs
Publication statusPublished - Jan 1 2005

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Keywords

  • Contact r-surgery
  • Contact structure
  • Legendrian and transverse knots
  • Lutz twist
  • Surgery diagram

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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