Improving the Seifert inequality for the genus of a knot using the Links-Gould invariant of links
1 : YMSC, Tsinghua University
I will show how the Links-Gould invariant of links can be used to systematically improve the well known lower bound for the 3-genus of a knot known as the Seifert inequality, that is obtained from the Alexander polynomial.
For example, this allows us to straightforwardly detect genus for the Kinoshita-Terasaka/Conway pair of mutant knots, where the Seifert inequality and the Levine-Tristram signature fail to do so.
This is work in common with Guillaume Tahar.
| Type : | : | Soumission d'exposé court |
| Thématiques | : | Short talk |
| PDF version | : |  PDF version |
