Whitney towers and abelian invariants of knots
classification
🧮 math.GT
keywords
invariantsabelianknotwhitneyalexanderalgorithmballblanchfield
read the original 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.
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