Cha, J. C., Friedl, S. and Powell, M. (2014) Concordance of links with identical Alexander invariants. Bulletin of the London Mathematical Society, 46(3), pp. 629-642. (doi: 10.1112/blms/bdu002)
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Abstract
Davis showed that the topological concordance class of a link in the 3-sphere is uniquely determined by its Alexander polynomial for 2-component links with Alexander polynomial one. A similar result for knots with Alexander polynomial one was shown earlier by Freedman. We prove that these two cases are the only exceptional cases, by showing that the link concordance class is not determined by the Alexander invariants in any other case.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Powell, Professor Mark |
| Authors: | Cha, J. C., Friedl, S., and Powell, M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Bulletin of the London Mathematical Society |
| Publisher: | London Mathematical Society |
| ISSN: | 0024-6093 |
| ISSN (Online): | 1469-2120 |
| Published Online: | 08 April 2014 |
| Copyright Holders: | Copyright © 2014 London Mathematical Society |
| First Published: | First published in Bulletin of the London Mathematical Society 46(3): 629-642 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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