Concordance of links with identical Alexander invariants
Geometric Topology
2017-05-17 v1
Abstract
J. Davis showed that the topological concordance class of a link in the 3-sphere is uniquely determined by its Alexander polynomial for 2-component links with Alexander polynomial one. A similar result for knots with Alexander polynomial one was shown earlier by M. Freedman. We prove that these two cases are the only exceptional cases, by showing that the link concordance class is not determined by the Alexander invariants in any other case.
Keywords
Cite
@article{arxiv.1212.2924,
title = {Concordance of links with identical Alexander invariants},
author = {Jae Choon Cha and Stefan Friedl and Mark Powell},
journal= {arXiv preprint arXiv:1212.2924},
year = {2017}
}
Comments
14 pages