Non-slice linear combinations of iterated torus knots (Anthony Conway, MPI Bonn)

12.12.2019 14:15

In 1976, L. Rudolph asked whether the set of algebraic knots is linearly independent in the knot concordance group. After introducing the problem and its history, we exhibit new infinite families of examples for which Rudolph's question is answered in the positive. The proof involves twisted Blanchfield forms. This is based on joint work with Min Hoon Kim and Wojciech Politarczyk.

Lieu

Room 623, Séminaire "Topologie et Géométrie"

entrée libre