Nonslice Linear Combinations of Iterated Torus Knots

May 1, 2023·
Anthony Conway
,
Min Hoon Kim
,
Wojciech Politarczyk
· 0 min read
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.
Type
Publication
Algebraic & Geometric Topology
Twisted Blanchfield Forms Twisted Signatures Knot Concordance Algebraic Knots Torus Knots Rudolph Conjecture