Concordance groups of links

Andrew Donald*, Brendan Owens

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)

Abstract

We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group L of links in S3, 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.

Original languageEnglish
Pages (from-to)2069-2093
Number of pages25
JournalAlgebraic and Geometric Topology
Volume12
Issue number4
DOIs
Publication statusPublished - 2 Dec 2012

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