A partial resolution of Hedden's conjecture on satellite homomorphisms
arXiv:2308.06890
Abstract
A pattern knot in a solid torus defines a self-map of the smooth knot concordance group. We prove that if the winding number of a pattern is even but not divisible by 8, then the corresponding map is not a homomorphism, thus partially establishing a conjecture of Hedden.
11 pages, 7 figures