抄録
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.
本文言語 | English |
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ページ(範囲) | 541-564 |
ページ数 | 24 |
ジャーナル | Osaka Journal of Mathematics |
巻 | 45 |
号 | 2 |
出版ステータス | Published - 2008 6月 1 |
ASJC Scopus subject areas
- 数学 (全般)