#### Volume 12, issue 4 (2012)

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### Andrew Donald and Brendan Owens

Algebraic & Geometric Topology 12 (2012) 2069–2093
##### Abstract

We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group $\mathsc{ℒ}$ of links in ${S}^{3}$, which has the concordance group of knots as a direct summand with infinitely generated complement. We consider variants of this using oriented and unoriented surfaces as well as smooth and locally flat embeddings.