In this paper, we reconstruct the link invariant of framed links introduced in  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.
|ジャーナル||Osaka Journal of Mathematics|
|出版ステータス||Published - 2008 6 1|
ASJC Scopus subject areas
- 数学 (全般)