Scharlemann, Martin; Thompson, Abigail Link genus and the Conway moves. (English) Zbl 0693.57004 Comment. Math. Helv. 64, No. 4, 527-535 (1989). 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 Cited in 9 ReviewsCited in 34 Documents MSC: 57M25 Knots and links in the \(3\)-sphere (MSC2010) Keywords:Conway potential; Seifert surfaces; link; skein diagram; unknotting number PDF BibTeX XML Cite \textit{M. Scharlemann} and \textit{A. Thompson}, Comment. Math. Helv. 64, No. 4, 527--535 (1989; Zbl 0693.57004) Full Text: DOI EuDML