22 citations · 65 across the 9 of their papers we have counts for
6 papers · 1 filter
Finite type invariants of 3-manifolds
Thang T. Q. Le
This is a survey article on finite type invariants of 3-manifolds written for the Encyclopedia of Mathematical Physics to be published by Elsevier.
An analytic version of the Melvin-Morton-Rozansky Conjecture
Stavros Garoufalidis, Thang T. Q. Le
To a knot in 3-space, one can associate a sequence of Laurent polynomials, whose th term is the th colored Jones polynomial. The Volume Conjecture for small angles states tha…
On the Colored Jones Polynomial and the Kashaev invariant
Vu Huynh, Thang T. Q. Le
We express the colored Jones polynomial as the inverse of the quantum determinant of a matrix with entries in the -Weyl algebra of -operators, evaluated at the trivial functi…
On the volume conjecture for small angles
Stavros Garoufalidis, Thang TQ Le
Given a knot in 3-space, one can associate a sequence of Laurrent polynomials, whose th term is the th colored Jones polynomial. The Generalized Volume Conjecture states that…
The Colored Jones Polynomial and the A-Polynomial of Knots
Thang T. Q. Le
We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) tha…
On Perturbative PSU(n) Invariants of Rational Homology 3-Spheres
Thang T. Q. Le
We construct power series invariants of rational homology 3-spheres from quantum PSU(n)-invariants. The power series can be regarded as perturbative invariants corresponding to the…