Donald, A. and Owens, B. (2012) Concordance groups of links. Algebraic and Geometric Topology, 12(4), pp. 2069-2093. (doi: 10.2140/agt.2012.12.2069)
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Publisher's URL: http://dx.doi.org/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 the 3-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.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Owens, Professor Brendan and Donald, Mr Andrew |
| Authors: | Donald, A., and Owens, B. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Research Group: | Geometry and Topology |
| Journal Name: | Algebraic and Geometric Topology |
| Publisher: | Mathematical Sciences Publishers |
| ISSN: | 1472-2747 |
| ISSN (Online): | 1472-2739 |
| Copyright Holders: | Copyright © 2012 Mathematical Sciences Publishers |
| First Published: | First published in Algebraic and Geometric Topology 12(4):2069-2093 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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