English

Solvability of concordance groups and Milnor invariants

Geometric Topology 2023-12-05 v1

Abstract

Using Milnor invariants, we prove that the concordance group C(2)\mathcal{C}(2) of 22-string links is not solvable. As a consequence we prove that the equivariant concordance group of strongly invertible knots is also not solvable, and we answer a conjecture posed by Kuzbary.

Keywords

Cite

@article{arxiv.2312.02058,
  title  = {Solvability of concordance groups and Milnor invariants},
  author = {Alessio Di Prisa and Giovanni Framba},
  journal= {arXiv preprint arXiv:2312.02058},
  year   = {2023}
}

Comments

13 pages, 3 figures. Comments are welcome!