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BIRS Workshop Lecture Videos

Upper bounds for the topological slice genus of knots (Feller/Lewark) Lewark, Lukas


In 1981, Freedman proved that knots with trivial Alexander polynomial bound a locally flat disc in the four-ball. As a consequence, the degree of the Alexander polynomial constitutes an upper bound for the topological slice genus of a knot (F., 2015). We discuss a stronger bound, which is still determined solely by the knot's Seifert form. As sample applications, we will see upper bounds for the slice genus of torus knots (Baader, F., L., Liechti) and two-bridge knots (F., Mccoy), and for the stable slice genus of alternating knots (Baader, L.)."

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