5 papers
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…
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…
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 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…