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arXiv.org e-Print Archive
Preprint . 2001
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Other literature type . 2003
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Algebraic & Geometric Topology
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https://dx.doi.org/10.48550/ar...
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A geometric interpretation of Milnor’s triple linking numbers

A geometric interpretation of Milnor's triple linking numbers
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 19 Jun 2003Embargo end date: 01 Jan 2001 English Publisher:Mathematical Sciences PublishersJournal:Algebraic & Geometric Topology, volume 3, pages 557-568 (issn: 1472-2747, eissn: 1472-2739, Copyright policy )
Authors: Mellor, Blake; Melvin, Paul;

doi: 10.2140/agt.2003.3.557 , 10.48550/arxiv.math/0110001

arXiv: math/0110001

A geometric interpretation of Milnor’s triple linking numbers

Abstract

Milnor's triple linking numbers of a link in the 3-sphere are interpreted geometrically in terms of the pattern of intersections of the Seifert surfaces of the components of the link. This generalizes the well known formula as an algebraic count of triple points when the pairwise linking numbers vanish.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-18.abs.html

Related Organizations
Keywords

Seifert surfaces, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, link homotopy, Mathematics - Geometric Topology, $\bar\mu$–invariants, 57M27, 57M25, \(\bar{\mu}\)-invariants, 57M25, 57M27, FOS: Mathematics, Knots and links in the \(3\)-sphere

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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!
17
Top 10%
Top 10%
Average
Green
bronze