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Some limits of the colored Jones polynomials of the figure-eight knot

Geometric Topology 2007-05-23 v1

Abstract

We will study the asymptotic behaviors of the colored Jones polynomials of the figure-eight knot. In particular we will show that for certain limits we obtain the volumes of the cone manifolds with singularities along the knot.

Keywords

Cite

@article{arxiv.math/0308002,
  title  = {Some limits of the colored Jones polynomials of the figure-eight knot},
  author = {Hitoshi Murakami},
  journal= {arXiv preprint arXiv:math/0308002},
  year   = {2007}
}

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11 pages