350 citations · 1.6k across the 59 of their papers we have counts for
68 papers
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…
Quantum Dilogarithms and New Integrable Lattice Models in Three Dimensions
Vladimir V. Bazhanov, Rinat M. Kashaev, Vladimir V. Mangazeev +1
In this paper we introduce a new class of integrable 3D lattice models, possessing continuous families of commuting layer-to-layer transfer matrices. Algebraically, this commutativ…
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 braided Hopf structures on exterior algebras
Rinat Kashaev, Vladimir Mangazeev
We show that the exterior algebra of a vector space of dimension greater than one admits a one-parameter family of braided Hopf algebra structures, arising from its identificat…
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…
Multivariable knot polynomials from braided Hopf algebras with automorphisms
Stavros Garoufalidis, Rinat Kashaev
We construct knot invariants from solutions to the Yang--Baxter equation associated to appropriately generalized left/right Yetter--Drinfel'd modules over a braided Hopf algebra wi…