Non-slice linear combinations of iterated torus knots
Geometric Topology
2023-05-17 v3
Abstract
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. This paper uses twisted Blanchfield pairings to answer this question in the affirmative for new large families of algebraic knots.
Keywords
Cite
@article{arxiv.1910.01368,
title = {Non-slice linear combinations of iterated torus knots},
author = {Anthony Conway and Min Hoon Kim and Wojciech Politarczyk},
journal= {arXiv preprint arXiv:1910.01368},
year = {2023}
}
Comments
24 pages, 3 figures. v2: Theorem 1.1 is now substantially strengthened and its proof is simplified. v3: minor changes in the introduction