English

Tree Diagrams for String Links II: Determining Chord Diagrams

Geometric Topology 2009-01-10 v1 Combinatorics

Abstract

In previous work, we defined the intersection graph of a chord diagram associated with a string link (as in the theory of finite type invariants). In this paper, we look at the case when this graph is a tree, and we show that in many cases these trees determine the chord diagram (modulo the usual 1-term and 4-term relations).

Keywords

Cite

@article{arxiv.math/0408286,
  title  = {Tree Diagrams for String Links II: Determining Chord Diagrams},
  author = {Blake Mellor},
  journal= {arXiv preprint arXiv:math/0408286},
  year   = {2009}
}

Comments

14 pages, many figures

R2 v1 2026-07-22T17:08:56.535Z