English

A geometric interpretation of Milnor's triple linking numbers

Geometric Topology 2014-10-01 v3

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.

Keywords

Cite

@article{arxiv.math/0110001,
  title  = {A geometric interpretation of Milnor's triple linking numbers},
  author = {Blake Mellor and Paul Melvin},
  journal= {arXiv preprint arXiv:math/0110001},
  year   = {2014}
}

Comments

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