Classification of ribbon 2-knots presented by virtual arcs with up to four crossings

Taizo Kanenobu, Toshio Sumi

Research output: Contribution to journalArticle

Abstract

We consider classification of the oriented ribbon 2-knots presented by virtual arcs with up to four crossings. We show the difference by the 2-fold branched covering space, the Alexander polynomial, the number of representations of the knot group to SL(2,), a finite field, and the twisted Alexander polynomial.

Original languageEnglish
Article number1950067
JournalJournal of Knot Theory and its Ramifications
Volume28
Issue number10
DOIs
Publication statusPublished - Sep 1 2019

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Alexander Polynomial
Knot
Arc of a curve
Knot Group
Branched Covering
Covering Space
Galois field
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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Classification of ribbon 2-knots presented by virtual arcs with up to four crossings. / Kanenobu, Taizo; Sumi, Toshio.

In: Journal of Knot Theory and its Ramifications, Vol. 28, No. 10, 1950067, 01.09.2019.

Research output: Contribution to journalArticle

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