Concordance groups of links

Details Concordance groups of links Concordance groups of links

2012-03-14

arxiv.org/abs/1203.3238v1

Mathematics

Geometric Topology

21 pages, 6 figures

Scientific paper

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.

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