Abstract
In this paper, a representation of the category of tangles will be given, which has a natural meaning in terms of certain twisted homology groups. The representation is demonstrated explicitly in terms of a presentation of this category found by Turaev. The invariant of links obtained is identified with the one-variable Jones polynomial via the skein relation, and some remarks are made on how the procedure can be extended to give the two-variable Jones polynomial.
| Original language | American English |
|---|---|
| Pages (from-to) | 689-710 |
| Number of pages | 22 |
| Journal | Journal of Differential Geometry |
| Volume | 37 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 1993 |
| Externally published | Yes |