Abstract
We derive a formula expanding the bracket with respect to a natural deformation parameter. The expansion is in terms of a two-variable polynomial algebra of diagram resolutions generated by basic operations involving the Goldman bracket. A functorial characterization of this algebra is given. Differentiability properties of the star product underlying the Kauffman bracket are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 809-831 |
| Number of pages | 23 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 16 |
| Issue number | 7 |
| DOIs | |
| State | Published - Sep 2007 |
Keywords
- Deformation quantization
- Goldman bracket
- Kauffman bracket
- Mapping class group
- State sum
- String topology