Special Issue: Proceedings of the Special Session “Low-Dimensional Topology and Its Relationships with Physics”, held at the AMS/EMS/SPM meeting in Porto, Portugal, June 10–13, 2015; Guest Editors: L. H. Kauffman and P. LopesNo Access

A twisted link invariant derived from a virtual link invariant

Naoko Kamada

Naoko Kamada

Graduate School of Natural Sciences, Nagoya City University, 1 Yamanohata, Mizuho-cho, Mizuho-ku, Nagoya, Aichi 467-8501, Japan

E-mail Address: kamada@nsc.nagoya-cu.ac.jp

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https://doi.org/10.1142/S0218216517430076Cited by:1 (Source: Crossref)

Abstract

Virtual knot theory is a generalization of knot theory which is based on Gauss chord diagrams and link diagrams on closed oriented surfaces. A twisted knot is a generalization of a virtual knot, which corresponds to a link diagram on a possibly non-orientable surface. In this paper, we discuss an invariant of twisted links which is obtained from the JKSS invariant of virtual links by use of double coverings. We also discuss some properties of double covering diagrams.

Keywords:

AMSC: 57M25, 57M27

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