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math.QA2003★ 3 cited
On the invertibility of quantization functors
B. Enriquez, P. Etingof
Certain quantization problems are equivalent to the construction of morphisms from "quantum" to "classical" props. Once such a morphism is constructed, Hensel's lemma shows that it…
math.QA2002★ 1 cited
A cohomological construction of quantization functors of Lie bialgebras
B. Enriquez
We propose a variant to the Etingof-Kazhdan construction of quantization functors. We construct the twistor J_Φassociated to an associator Φusing cohomological techniques. We then…
math.QA2000
Quasi-Hopf algebras associated with semisimple Lie algebras and complex curves
B. Enriquez
We construct quasi-Hopf algebras associated with a semisimple Lie algebra, a complex curve and a rational differential. This generalizes our previous joint work with V. Rubtsov (Is…