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On the generalized virtual Goeritz matrix for virtual knots.

Authors :
Lee, Kyeonghui
Kim, Sera
Source :
Journal of Knot Theory & Its Ramifications. Apr2023, Vol. 32 Issue 5, p1-13. 13p.
Publication Year :
2023

Abstract

Im et al. [Signature, nullity and determinant of checkerboard colorable virtual links, J. Knot Theory Ramifications 19(8) (2010) 1093–1114] introduced how to define Goeritz matrices for checkerboard colorable virtual links. In this paper, we extend this for the Goeritz matrices of virtual knots. And we consider its signature and determinant and show they are invariants for virtual knots. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*KNOT theory

Details

Language :
English
ISSN :
02182165
Volume :
32
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
164158452
Full Text :
https://doi.org/10.1142/S0218216523500384