English

On the volume conjecture for hyperbolic knots

Quantum Algebra 2007-05-23 v1 Geometric Topology

Abstract

In this article, we give a rough, and so not complete yet, proof of Kashaev's conjecture, that is, the volume conjecture for hyperbolic knots, where the hyperbolicity equations associated to knot diagrams appear as the stationary phase equations for Kashaev's invariants.

Keywords

Cite

@article{arxiv.math/0009165,
  title  = {On the volume conjecture for hyperbolic knots},
  author = {Yoshiyuki Yokota},
  journal= {arXiv preprint arXiv:math/0009165},
  year   = {2007}
}

Comments

10 pages, 6 figures