819 research outputs found
Kashaev's invariant and the volume of a hyperbolic knot after Y. Yokota
I follow Y. Yokota to explain how to obtain a tetrahedron decomposition of
the complement of a hyperbolic knot and compare it with the asymptotic behavior
of Kashaev's link invariant using the figure-eight knot as an example.Comment: 21 pages, 21 figures, submitted to the Proceedings of "Physics and
Combinatorics" Workshop, Nagoya 199
The colored Jones polynomial, the Chern--Simons invariant, and the Reidemeister torsion of the figure-eight knot
We show that from the asymptotic behavior of an evaluation of the colored
Jones polynomial of the figure-eight knot we can extract the Chern--Simons
invariant and the twisted Reidemeister torsion associated with a representation
of the fundamental group of the knot complement to the two-dimensional complex
special linear group.Comment: 35 pages, 4 figure
- …