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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Hauptverfasser: Cha, Jae Choon, Orr, Kent E, Powell, Mark
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Geometric Topology
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Beschreibung
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.
DOI:10.48550/arxiv.1606.03608