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)
|
Text
70688.pdf - Accepted Version 257kB |
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 |
---|---|
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 |
Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record