3 citations · 4 across the 5 of their papers we have counts for
5 papers
A survey on the Le-Murakami-Ohtsuki invariant for closed 3-manifolds
Benjamin Enriquez, Anderson Vera
We review the original approach to the Le-Murakami-Ohtsuki (LMO) invariant of closed 3-manifolds (as opposed to the later approach based on the Aarhus integral). Following the idea…
Basic representations of quantum current algebras in higher genus
B. Enriquez, S. Pakuliak, V. Rubtsov
We construct level 1 basic representations of the quantized current algebras associated to higher genus algebraic curves using one free field. We also clarify the relation between…
Commuting families in skew fields and quantization of Beauville's fibration
B. Enriquez, V. Rubtsov
We construct commuting families in fraction fields of symmetric powers of algebras. The classical limit of this construction gives Poisson commuting families associated with linear…
On some universal algebras associated to the category of Lie bialgebras
B. Enriquez
In our previous work (math/0008128), we studied the set Quant(K) of all universal quantization functors of Lie bialgebras over a field K of characteristic zero, compatible with dua…
Quantum homogeneous spaces and quasi-Hopf algebras
B. Enriquez, Y. Kosmann-Schwarzbach
We propose a formulation of the quantization problem of Manin quadruples, and show that a solution to this problem yields a quantization of the corresponding Poisson homogeneous sp…