Concordance groups of links
Geometric Topology
2014-10-01 v1
Abstract
We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group of links in the three-sphere, which has the concordance group of knots as a direct summand with infinitely generated complement. We consider variants of this using oriented and nonoriented surfaces as well as smooth and locally flat embeddings.
Cite
@article{arxiv.1203.3238,
title = {Concordance groups of links},
author = {Andrew Donald and Brendan Owens},
journal= {arXiv preprint arXiv:1203.3238},
year = {2014}
}
Comments
21 pages, 6 figures