Cha, J. C., Orr, K. E. and Powell, M. (2020) Whitney towers and abelian invariants of knots. Mathematische Zeitschrift, 294(1-2), pp. 519-553. (doi: 10.1007/s00209-019-02293-x)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Powell, Professor Mark |
| Authors: | Cha, J. C., Orr, K. E., and Powell, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematische Zeitschrift |
| Publisher: | Springer |
| ISSN: | 0025-5874 |
| ISSN (Online): | 1432-1823 |
| Published Online: | 05 April 2019 |
| Copyright Holders: | Copyright © 2019 The Authors |
| First Published: | First published in Mathematische Zeitschrift 294(1-2): 519-553 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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