Algebraic concordance groups for links
Geometric Topology
2026-07-28 v1 Algebraic Topology
Abstract
We use families of generalized Seifert matrices to define algebraic concordance groups for links with non trivial Alexander polynomial. We then use these groups to recover the invariance by concordance of the signature, the Fox-Milnor condition for concordant links and the invariance by concordance of the Witt class of the Blanchfield pairing for links. Finally, we use these invariants to investigate the isomorphism types of these groups.
Cite
@article{arxiv.2607.25931,
title = {Algebraic concordance groups for links},
author = {Gaëtan Simian},
journal= {arXiv preprint arXiv:2607.25931},
year = {2026}
}
Comments
31 pages, 10 figures