7 papers
A lower bound for the genus of a knot using the Links-Gould invariant
Ben-Michael Kohli, Guillaume Tahar
The Links-Gould invariant of links is a two-variable generalization of the Alexander-Conway polynomial. Using representation theory of , w…
Extending Knot Polynomials of Braided Hopf Algebras to Links
Stavros Garoufalidis, Matthew Harper, Ben-Michael Kohli +2
Recently, a plethora of multivariable knot polynomials were introduced by Kashaev and one of the authors, by applying the Reshetikhin-Turaev functor to rigid -matrices that come…
Detecting Causality with the Links--Gould Polynomial
Vladimir Chernov, Matthew Harper, Ben-Michael Kohli
The conjectures of Low and Natario--Tod, and Penrose's question on Arnold's Problem list ask if causality in spacetimes can be formulated in terms of linking of spheres of light ra…
Skein theory for the Links-Gould polynomial
Stavros Garoufalidis, Matthew Harper, Rinat Kashaev +3
Building further on work of Marin and Wagner, we give a cubic braid-type skein theory of the Links--Gould polynomial invariant of oriented links and prove that it can be used to ev…
On the colored Links--Gould polynomial
Stavros Garoufalidis, Matthew Harper, Rinat Kashaev +2
We give a cabling formula for the Links--Gould polynomial of knots colored with a -dimensional irreducible representation of and identify the…
On some log-concavity properties of the Alexander-Conway and Links-Gould invariants
Matthew Harper, Ben-Michael Kohli, Jiebo Song +1
The Links--Gould invariant of a link is a two-variable quantum generalization of the Alexander--Conway polynomial and has been shown to sh…