Concordance of links with identical Alexander invariants

Cha, Jae Choon; Friedl, Stefan; Powell, Mark

doi:10.1112/blms/bdu002

Concordance of links with identical Alexander invariants

Cha, Jae Choon; Friedl, Stefan; Powell, Mark

Authors

Jae Choon Cha

Stefan Friedl

Mark Powell

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.

Citation

Cha, J. C., Friedl, S., & Powell, M. (2014). Concordance of links with identical Alexander invariants. Bulletin of the London Mathematical Society, 46(3), 629-642. https://doi.org/10.1112/blms/bdu002

Journal Article Type	Article
Online Publication Date	Apr 8, 2014
Publication Date	Jun 1, 2014
Deposit Date	Oct 3, 2017
Publicly Available Date	Oct 4, 2017
Journal	Bulletin of the London Mathematical Society
Print ISSN	0024-6093
Electronic ISSN	1469-2120
Publisher	Wiley
Peer Reviewed	Peer Reviewed
Volume	46
Issue	3
Pages	629-642
DOI	https://doi.org/10.1112/blms/bdu002
Related Public URLs	https://arxiv.org/abs/1212.2924

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This is a pre-copyedited, author-produced PDF of an article accepted for publication in Bulletin of the London Mathematical Society following peer review. The version of record is available online at: https://doi.org/10.1112/blms/bdu002