The asymptotic behavior of the colored Jones function of a knot and its volume
arXiv:math/0004036
Abstract
I show various calculations of the limit of the colored Jones function for the figure-eight knot and confirm R. Kashaev's conjecture in this case.
arXiv comment10 pages, to appear in the proceedings of `Art of Low Dimensional Topology VI'
Cited by in corpus (7)
- Representations and the colored Jones polynomial of a torus knot
- Some limits of the colored Jones polynomials of the figure-eight knot
- Mahler measure of the colored Jones polynomial and the volume conjecture
- The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces
- Asymptotic behaviors of the colored Jones polynomials of a torus knot
- The colored Jones polynomials as vortex partition functions
- Optimistic limits of the colored Jones polynomials