I describe how the colored Jones polynomials of the figure-eight knot determine the volumes of the three-manifolds obtained by Dehn surgeries along it, according to my joint work with Y. Yokota.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm184-0-15,
author = {Hitoshi Murakami},
title = {The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries},
journal = {Fundamenta Mathematicae},
volume = {184},
year = {2004},
pages = {269-289},
zbl = {1095.57015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm184-0-15}
}
Hitoshi Murakami. The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries. Fundamenta Mathematicae, Tome 184 (2004) pp. 269-289. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm184-0-15/