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2012 Concordance groups of links
Andrew Donald, Brendan Owens
Algebr. Geom. Topol. 12(4): 2069-2093 (2012). DOI: 10.2140/agt.2012.12.2069

Abstract

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

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Andrew Donald. Brendan Owens. "Concordance groups of links." Algebr. Geom. Topol. 12 (4) 2069 - 2093, 2012. https://doi.org/10.2140/agt.2012.12.2069

Information

Received: 30 April 2012; Revised: 18 July 2012; Accepted: 25 July 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1266.57005
MathSciNet: MR3020201
Digital Object Identifier: 10.2140/agt.2012.12.2069

Subjects:
Primary: 57M25, 57M27, 57N70

Rights: Copyright © 2012 Mathematical Sciences Publishers

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