A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Classification of 2-component virtual links up to ${\varXi }$-moves

Volume 263 / 2023

Jean-Baptiste Meilhan, Shin Satoh, Kodai Wada Fundamenta Mathematicae 263 (2023), 203-234 MSC: Primary 57K12; Secondary 57K10. DOI: 10.4064/fm168-10-2023 Published online: 21 November 2023

Abstract

A $\Xi $-move is a local move generated by forbidden moves in virtual knot theory. This move was introduced by Taniguchi and the second author, who showed that it characterizes the odd writhe of virtual knots, which is a fundamental invariant defined by Kauffman. In this paper, we extend this result by classifying $2$-component virtual links up to $\Xi $-moves, using refinements of the odd writhe and linking numbers.

Authors

  • Jean-Baptiste MeilhanUniv. Grenoble Alpes, CNRS, IF
    38000 Grenoble, France
    e-mail
  • Shin SatohDepartment of Mathematics
    Kobe University
    Kobe 657-8501, Japan
    e-mail
  • Kodai WadaDepartment of Mathematics
    Kobe University
    Kobe 657-8501, Japan
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image