Abstract
We use Polyak's skein relation to give a new proof that Milnor's string link homotopy invariants are finite type invariants, and to develop a recursive relation for their associated weight systems. We show that the obstruction to the triviality of these weight systems is the presence of a certain kind of spanning tree in the intersection graph of a chord diagram.
| Original language | American English |
|---|---|
| Pages (from-to) | 213-230 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 17 |
| Issue number | 2 |
| State | Published - 2008 |
Disciplines
- Discrete Mathematics and Combinatorics
- Geometry and Topology