Tree Diagrams for String Links II: Determining Chord Diagrams

Details Tree Diagrams for String Links II: Determining Chord Diagrams Tree Diagrams for String Links II: Determining Chord Diagrams

2004-08-20

arxiv.org/abs/math/0408286v1

J. Knot Theory Ramif., vol. 17, no. 6, 2008, pp. 649-664

Mathematics

Geometric Topology

14 pages, many figures

Scientific paper

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).

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