Concordance of links with identical Alexander invariants

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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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
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 (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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