Whitney towers and abelian invariants of knots

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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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
Glasgow Author(s) Enlighten ID:Powell, Dr 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
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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