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

Taizo Kanenobu, Toshio Sumi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We consider a family of ribbon 2-knots with trivial Alexander polynomial. We give nonabelian SL(2,C)-representations from 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.

Original languageEnglish
Pages (from-to)591-604
Number of pages14
JournalCommunications of the Korean Mathematical Society
Volume33
Issue number2
DOIs
Publication statusPublished - Jan 1 2018

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Alexander Polynomial
Knot
Trivial
Polynomials
Classify
Calculate
Family

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Classification of a family of ribbon 2-knots with trivial Alexander polynomial. / Kanenobu, Taizo; Sumi, Toshio.

In: Communications of the Korean Mathematical Society, Vol. 33, No. 2, 01.01.2018, p. 591-604.

Research output: Contribution to journalArticle

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