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Article
A Geometric Interpretation of Milnor's Triple Invariants
Algebraic & Geometric Topology
  • Blake Mellor, Loyola Marymount University
  • Paul Melvin
Document Type
Article
Publication Date
1-1-2003
Disciplines
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.

Publisher Statement

Permission has been granted by Mathematical Sciences Publishers to supply this article for educational and research purposes. More info can be found about the Algebraic & Geometric Topology at http://msp.org/agt/about/journal/about.html. © Mathematical Sciences Publishers.

Citation Information
Mellor, B. and P. Melvin, 2003: A geometric interpretation of Milnor's triple invariants. Algebr. Geom. Topol., 3, 557-568.