Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2018; 33(2): 591-604

Online first article March 9, 2018      Printed April 1, 2018

https://doi.org/10.4134/CKMS.c170222

Copyright © The Korean Mathematical Society.

Classification of a family of ribbon 2-knots with trivial Alexander polynomial

Taizo Kanenobu, Toshio Sumi

Osaka City University, Kyushu University

Abstract

Go to

We consider a family of ribbon $2$-knots with trivial Alexander polynomial. We give nonabelian $SL(2, \C)$-representationsfrom the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.

Keywords: ribbon 2-knot, Alexander polynomial, knot group, twisted Alexander polynomial

MSC numbers: Primary 57Q45; Secondary 57M05

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS