Colored Alexander invariants and cone-manifolds
Murakami, Jun
Osaka J. Math., Tome 45 (2008) no. 1, p. 541-564 / Harvested from Project Euclid
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In this paper, we reconstruct the link invariant of framed links introduced in [1] by the universal $R$-matrix of $\mathcal{U}_{q}(\sl_{2})$ and name it the colored Alexander invariant. We check that the optimistic limit $\mathop{\mathrm{o-lim}}$ 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.
Publié le : 2008-06-15
Classification:  57M27,  20G42 
@article{1216151113,
     author = {Murakami, Jun},
     title = {Colored Alexander invariants and cone-manifolds},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 541-564},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1216151113}
}

Murakami, Jun. Colored Alexander invariants and cone-manifolds. Osaka J. Math., Tome 45 (2008) no. 1, pp.  541-564. http://gdmltest.u-ga.fr/item/1216151113/