6 papers
The Links--Gould polynomial of an alternating link is alternating
Matthew Harper, Ben-Michael Kohli
Building on work of Kauffman--Saleur and earlier work of the second author, we derive a determinant formula for the Links--Gould polynomial of links. As an application, we prove a…
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…
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 sha…
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…
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…
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…