English

Homotopy ribbon concordance and Alexander polynomials

Geometric Topology 2020-07-24 v3

Abstract

We show that if a link J in the 3-sphere is homotopy ribbon concordant to a link L then the Alexander polynomial of L divides the Alexander polynomial of J.

Cite

@article{arxiv.1907.09031,
  title  = {Homotopy ribbon concordance and Alexander polynomials},
  author = {Stefan Friedl and Mark Powell},
  journal= {arXiv preprint arXiv:1907.09031},
  year   = {2020}
}

Comments

7 pages. Version 2 extends the result to Alexander polynomials of links. Version 3 incorporates referee's comments, to appear in Archiv der Mathematik

R2 v1 2026-06-23T10:26:31.325Z