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Article
Finite Type Link Homotopy Invariants
Journal of Knot Theory and Its Ramifications
  • Blake Mellor, Loyola Marymount University
Document Type
Article - post-print
Publication Date
1-1-1999
Disciplines
Abstract
Bar-Natan used Chinese characters to show that finite type invariants classify string links up to homotopy. In this paper, I construct the correct spaces of chord diagrams and Chinese characters for links up to homotopy. I use these spaces to show that the only rational finite type invariants of link homotopy are the pairwise linking numbers of the components.
Citation / Publisher Attribution

This is a post-print version of the article.

Citation Information
Mellor, B., 1999: Finite Type Link Homotopy Invariants. J. Knot Theory Ramif., 8.6, 773-787, arXiv:math/9807162.