Bonn Topology Group - Abstracts

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Talk

January 7th 2020
Anthony Conway (MPIM, Bonn): Non-slice linear combinations of iterated torus knots

Abstract

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.

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