Link genus and the Conway moves. (English) Zbl 0693.57004

The authors study the relation between the degrees of the Conway potential functions and the maximal Euler characteristic of all Seifert surfaces for a link. Two consequences of their work are: (a) a lower bound for the height of the Conway skein diagram; (b) characterization of doubled knots as those with genus and unknotting number equal to 1.
Reviewer: L.P.Neuwirth


57M25 Knots and links in the \(3\)-sphere (MSC2010)
Full Text: DOI EuDML