From the 1 of 12 linked papers with an AI index.
12 papers
Genus bounds for knot polynomials of Lie superalgebras
Stavros Garoufalidis, Daniel López Neumann
The paper proves that for knot polynomials colored by typical representations of type I Lie superalgebras, the degree in the variable t is bounded above by the number of odd roots…
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…
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…
Patterns of the -polynomial of knots
Stavros Garoufalidis, Shana Yunsheng Li
Recently, Kashaev and the first author constructed an -matrix from a Nichols algebra with an automorphism, that leads, via the Reshetikhin--Turaev functor, to a multivariable po…
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…