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.
| Original language | American English |
|---|---|
| Pages (from-to) | 773-787 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 8 |
| Issue number | 6 |
| State | Published - 1999 |
Disciplines
- Geometry and Topology