Concordance groups of links
classification
🧮 math.GT
keywords
concordancegrouplinkscharacteristiccomplementconsiderdefinedirect
read the original 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.
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