Andrew Donald, Brendan Owens
Published 2012-03-14Version 1
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.
Comments: 21 pages, 6 figures
Euler characteristic and quadrilaterals of normal surfaces
Period three actions on the three-sphere
Euler characteristics of Teichmüller curves in genus two
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