Concordance, Rasmussen invariants, Satellites and Twisting (Lukas Lewark, ETH Zürich)

07.05.2026 14:15

A knot in the 3-sphere is slice if it bounds a smooth disk in the 4-ball. Knots modulo slice knots form an abelian group called the concordance group. We will explore what can be said about this group by mixing the following three ingredients: Rasmussen invariants (which come from Khovanov homology); satellite knots (which are the result of knotting a solid torus that itself contains a knot); and twisting (which means to put a full twist into a bunch of strands of a knot). This talk will feature joint work with Claudius Zibrowius, and joint work in progress with Chiara Donatone, Marc Kegel, and Paula Truöl.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Topologie et
géométrie"

entrée libre