Whitney towers and abelian invariants of knots

Authors :: Jae Choon Cha
Mark Powell
Kent E. Orr
Source :: Mathematische Zeitschrift, 2020, Vol.294(1-2), pp.519-553 [Peer Reviewed Journal]
Publication Year :: 2016
Publisher :: arXiv, 2016.
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.<br />Comment: 34 pages, 14 figures; to appear in Mathematische Zeitschrift

Database :: OpenAIRE
Journal :: Mathematische Zeitschrift, 2020, Vol.294(1-2), pp.519-553 [Peer Reviewed Journal]
Accession number :: edsair.doi.dedup.....5a596fd3ea77f720b2299990ddcf5269
Full Text :: https://doi.org/10.48550/arxiv.1606.03608