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.
|Number of pages||24|
|Journal||Osaka Journal of Mathematics|
|Publication status||Published - 2008 Jun 1|
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