12 citations · 14 across the 22 of their papers we have counts for
24 papers
The colored Jones polynomial does not determine the Links--Gould polynomial
Stavros Garoufalidis, Shana Yunsheng Li
We prove that the colored Jones polynomial of a knot does not determine the Links--Gould polynomial (associated with the 4-dimensional representation of the Lie superalgebra $\math…
The knot polynomial
Stavros Garoufalidis, Shana Yunsheng Li
We present the knot polynomial associated to the 12-dimensional sporadic Nichols algebra with automorphism, compute it for all knots with 16 crossings and di…
Genus bounds for knot polynomials of Lie superalgebras
Stavros Garoufalidis, Daniel López Neumann
Knot polynomials colored by typical representations of Lie superalgebras of type I (except ) have two variables and , the latter corresponding to the co…
Positivity and log concavity of the Links--Gould polynomial of knots
Stavros Garoufalidis, Shana Yunsheng Li, Josephine Yu
Motivated by the recent work of Harper--Kohli--Song--Tahar, we formulate a positivity, hole-free, and log-concavity conjecture for the Links--Gould polynomial of alternating links…
Combinatorial description of closed -manifolds via ordered ideal triangulations
Stavros Garoufalidis, Rinat Kashaev, Sakie Suzuki
It is well known that every compact oriented 3-manifold admits an ideal triangulation, and that any two such triangulations with at least two ideal tetrahedra are related by a sequ…
A lift of the colored Jones polynomial of a knot
Stavros Garoufalidis, Campbell Wheeler
Habiro lifted the Witten-Reshetikhin-Turaev invariant of an integer homology 3-sphere (a complex-valued function on the set of complex roots of unity) to an element of the Habiro r…