Knot Floer homology of (1, 1)-knots

Hiroshi Goda, Hiroshi Matsuda, Takayuki Morifuji

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We present a combinatorial method for a calculation of the knot Floer homology of (1, l)-knots, and then demonstrate it for nonalternating (1, 1)-knots with 10 crossings and the pretzel knots of type (-2,m, n). Our calculations determine the unknotting numbers and 4-genera of the pretzel knots of this type.

Original languageEnglish
Pages (from-to)197-214
Number of pages18
JournalGeometriae Dedicata
Volume112
Issue number1
DOIs
Publication statusPublished - 2005 Apr 1
Externally publishedYes

Keywords

  • (1, 1)-knots
  • Floer homology
  • Knot Floer homology
  • Pretzel knot
  • Tunnel number one knots

ASJC Scopus subject areas

  • Geometry and Topology

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