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Concordance groups of
links
Andrew Donald and Brendan Owens |
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Algebraic & Geometric Topology 12 (2012) 2069–2093
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Abstract |
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We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group of links in , 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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Keywords
knots and links, concordance
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Mathematical Subject Classification 2010
Primary: 57M25, 57M27, 57N70
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References |
Publication
Received: 30 April 2012
Revised: 18 July 2012
Accepted: 25 July 2012
Published: 2 December 2012
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Authors |
| Andrew Donald | |
| School of Mathematics and
Statistics University of Glasgow 15 University Gardens Glasgow G12 8QW UK |
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| Brendan Owens | |
| School of Mathematics and
Statistics University of Glasgow 15 University Gardens Glasgow G12 8QW UK |
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| http://www.maths.gla.ac.uk/~bowens/ | |
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