Add to ORKGAbstract. We give simple explicit formulas for deformation quantization of Poisson-Lie groups and of similar Poisson manifolds which can be represented as moduli spaces of flat connections on surfaces. The star products depend on a choice of Drinfeľd associator and are obtained by applying certain monoidal functors (fusion and reduction) to commutative algebras in Drinfeľd categories. From a geometric point of view this construction can be understood as a quan-tization of the quasi-Poisson structures on moduli spaces of flat connections. 1
The main theme of this thesis is higher algebraic structures that come from operads and props. The f...
We study deformations of invertible bimodules and the behavior of Picard groups under deformation qu...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...
We give simple explicit formulas for deformation quantization of Poisson–Lie groups and of similar P...
We give simple explicit formulas for deformation quantization of Poisson-Lie groups and of similar P...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
The theory of Deformation Quantization has experienced amazing progress in the last few years, culmi...
The theory of Deformation Quantization has experienced amazing progress in the last few years, culmi...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
It is a common problem in mathematical physics to describe and quantize the Poisson algebra on a sym...
Using the formalism of discrete quantum group gauge theory, one can construct the quantum algebras o...
In order to construct an integrable system on the moduli space Hom(pi(1) (S), G)/G of a punctured sp...
The main theme of this thesis is higher algebraic structures that come from operads and props. The f...
We study deformations of invertible bimodules and the behavior of Picard groups under deformation qu...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...
We give simple explicit formulas for deformation quantization of Poisson–Lie groups and of similar P...
We give simple explicit formulas for deformation quantization of Poisson-Lie groups and of similar P...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
Abstract. As a generalization of the linear Poisson bracket on the dual space of a Lie algebra, we i...
The theory of Deformation Quantization has experienced amazing progress in the last few years, culmi...
The theory of Deformation Quantization has experienced amazing progress in the last few years, culmi...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by l...
It is a common problem in mathematical physics to describe and quantize the Poisson algebra on a sym...
Using the formalism of discrete quantum group gauge theory, one can construct the quantum algebras o...
In order to construct an integrable system on the moduli space Hom(pi(1) (S), G)/G of a punctured sp...
The main theme of this thesis is higher algebraic structures that come from operads and props. The f...
We study deformations of invertible bimodules and the behavior of Picard groups under deformation qu...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...