Concordance groups of links

Donald, Andrew¹ ; Owens, Brendan¹

¹School of Mathematics and Statistics, University of Glasgow, 15 University Gardens, Glasgow, G12 8QW, UK

Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2069-2093

Résumé

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.

Détail

DOI : 10.2140/agt.2012.12.2069

Classification : 57M25, 57M27, 57N70
Keywords: knots and links, concordance

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