Whitney towers and abelian invariants of knots

Whitney towers and abelian invariants of knots

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.

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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2019-02
Hauptverfasser: Jae Choon Cha, Orr, Kent E, Powell, Mark
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Invariants
Knots
Polynomials
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Zusammenfassung: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.
ISSN:2331-8422