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.
|Number of pages||15|
|Journal||Osaka Journal of Mathematics|
|Publication status||Published - 2020|
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