142 citations · 206 across the 8 of their papers we have counts for
16 papers · 1 filter
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 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…
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
Does the Jones polynomial determine the signature of a knot?
Stavros Garoufalidis
The signature function of a knot is a locally constant integer valued function with domain the unit circle. The jumps (i.e., the discontinuities) of the signature function can occu…
On the characteristic and deformation varieties of a knot
Stavros Garoufalidis
The colored Jones function of a knot is a sequence of Laurent polynomials in one variable, whose n-th term is the Jones polynomial of the knot colored with the n-dimensional irredu…
On Knots with trivial Alexander polynomial
Stavros Garoufalidis, Peter Teichner
We use the 2-loop term of the Kontsevich integral to show that there are (many) knots with trivial Alexander polynomial which don't have a Seifert surface whose genus equals the ra…