142 citations · 1.3k across the 117 of their papers we have counts for
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Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot
Stavros Garoufalidis, Yueheng Lan
Loosely speaking, the Volume Conjecture states that the limit of the n-th colored Jones polynomial of a hyperbolic knot, evaluated at the primitive complex n-th root of unity is a…
A non-commutative formula for the colored Jones function
Stavros Garoufalidis, Martin Loebl
The colored Jones function of a knot is a sequence of Laurent polynomials that encodes the Jones polynomial of a knot and its parallels. It has been understood in terms of represen…
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…
Non-triviality of the A-polynomial for knots in S^3
Nathan M. Dunfield, Stavros Garoufalidis
The A-polynomial of a knot in S^3 defines a complex plane curve associated to the set of representations of the fundamental group of the knot exterior into SL(2,C). Here, we show t…
Asymptotics of q-difference equations
Stavros Garoufalidis, Jeffrey S. Geronimo
In this paper we develop an asymptotic analysis for formal and actual solutions of q-difference equations, under a regularity assumption. In particular, evaluations of regular solu…