The pass move is an unknotting operation for welded knots

Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh, Akira Yasuhara

Research output: Contribution to journalArticle

Abstract

It is known that the pass move is not an unknotting operation in classical knot theory. In this paper, we prove that the pass move is an unknotting operation in welded knot theory.

Original languageEnglish
Pages (from-to)9-19
Number of pages11
JournalTopology and its Applications
Volume247
DOIs
Publication statusPublished - 2018 Sep 15

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Knot Theory
Knot

Keywords

  • Arf invariant
  • Conway polynomial
  • Linking number
  • Pass move
  • Sharp move
  • Welded knot

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

The pass move is an unknotting operation for welded knots. / Nakamura, Takuji; Nakanishi, Yasutaka; Satoh, Shin; Yasuhara, Akira.

In: Topology and its Applications, Vol. 247, 15.09.2018, p. 9-19.

Research output: Contribution to journalArticle

Nakamura, Takuji ; Nakanishi, Yasutaka ; Satoh, Shin ; Yasuhara, Akira. / The pass move is an unknotting operation for welded knots. In: Topology and its Applications. 2018 ; Vol. 247. pp. 9-19.
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