Abstract
In this paper, we reconstruct the link invariant of framed links introduced in [1] by the universal R-matrix of Uq(sl2) and name it the colored Alexander invariant. We check that the optimistic limit o-lim of this invariant is determined by the volume of the knot and link cone-manifold for figure eight knot, Whitehead link and Borromean rings. We also propose the A-polynomials of these examples obtained from the colored Alexander invariant.
| Original language | English |
|---|---|
| Pages (from-to) | 541-564 |
| Number of pages | 24 |
| Journal | Osaka Journal of Mathematics |
| Volume | 45 |
| Issue number | 2 |
| Publication status | Published - 2008 Jun 1 |
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Murakami, J. (2008). Colored alexander invariants and cone-manifolds. Osaka Journal of Mathematics, 45(2), 541-564.