Whitney towers and abelian invariants of knots

Cha, Jae Choon; Orr, Kent; Powell, Mark

doi:10.1007/s00209-019-02293-x

Whitney towers and abelian invariants of knots

Cha, Jae Choon; Orr, Kent; Powell, Mark

Authors

Jae Choon Cha

Kent Orr

Mark Powell

Abstract

We relate certain abelian invariants of a knot, namely the Alexander polynomial, the Blanchfield form, and the Arf invariant, to intersection data of a Whitney tower in the 4-ball bounded by the knot. We also give a new 3-dimensional algorithm for computing these invariants.

Citation

Cha, J. C., Orr, K., & Powell, M. (2020). Whitney towers and abelian invariants of knots. Mathematische Zeitschrift, 294(1-2), 519-553. https://doi.org/10.1007/s00209-019-02293-x

Journal Article Type	Article
Acceptance Date	Feb 20, 2019
Online Publication Date	Apr 5, 2019
Publication Date	Feb 28, 2020
Deposit Date	Mar 15, 2019
Publicly Available Date	Apr 25, 2019
Journal	Mathematische Zeitschrift
Print ISSN	0025-5874
Electronic ISSN	1432-1823
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	294
Issue	1-2
Pages	519-553
DOI	https://doi.org/10.1007/s00209-019-02293-x
Related Public URLs	https://arxiv.org/abs/1606.03608

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Advance online version © The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.