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Concordance Invariance of Levine-Tristram Signatures of Links

Concordance invariance of Levine-Tristram signatures of links
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 Jan 2016 United Kingdom Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Documenta Mathematica, volume 22, pages 25-43 (issn: 1431-0635, eissn: 1431-0643, Copyright policy )Funded by:NSERC | unidentified
Authors: Matthias Nagel; Mark Powell;

doi: 10.4171/dm/558 , 10.48550/arxiv.1608.02037

arXiv: 1608.02037

Concordance Invariance of Levine-Tristram Signatures of Links

Abstract

We determine for which complex numbers on the unit circle the Levine-Tristram signature and the nullity give rise to link concordance invariants.

Country
United Kingdom
Related Organizations
Keywords

link concordance, Mathematics - Geometric Topology, Cobordism and concordance in topological manifolds, Levine-Tristram signatures, nullity, FOS: Mathematics, Knots and links in the \(3\)-sphere, Geometric Topology (math.GT), 57M25, 57M27, 57N70, Invariants of knots and \(3\)-manifolds

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 11
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Average
Average
Green
Published in a Diamond OA journal
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