Twisted alexander polynomial of a ribbon 2-knot of 1-fusion

Taizo Kanenobu, Toshio Sumi

Research output: Contribution to journalArticlepeer-review

Abstract

The twisted Alexander polynomial is defined as a rational function, not necessarily a poly-nomial. It is shown that for a ribbon 2-knot, the twisted Alexander polynomial associated to an irreducible representation of the knot group to SL(2, F) is always a polynomial. Further-more, the twisted Alexander polynomial of a fibered ribbon 2-knot of 1-fusion has the lowest and highest degree coefficients 1 with breadth 2m − 2, where m is the breadth of its Alexander polynomial.

Original languageEnglish
Pages (from-to)789-803
Number of pages15
JournalOsaka Journal of Mathematics
Volume57
Issue number4
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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