Kashaev's invariant and the volume of a hyperbolic knot after Y. Yokota

Abstract

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.

21 pages, 21 figures, submitted to the Proceedings of "Physics and Combinatorics" Workshop, Nagoya 1999

References in corpus (3)

• A Link Invariant from Quantum Dilogarithm
• The hyperbolic volume of knots from quantum dilogarithm
• On the volume conjecture for hyperbolic knots

Cited by in corpus (5)

• 3-manifolds efficiently bound 4-manifolds
• Octahedral developing of knot complement I: pseudo-hyperbolic structure
• The colored Jones polynomials as vortex partition functions
• Optimistic limits of the colored Jones polynomials
• QHI Theory, I: 3-Manifolds Scissors Congruence Classes and Quantum Hyperbolic Invariants