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 |
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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)