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- Title
On Deformation Quantization of Poisson–Lie Groups and Moduli Spaces of Flat Connections.
- Authors
Li-Bland, David; Ševera, Pavol
- Abstract
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 Drinfeld associator and are obtained by applying certain monoidal functors (fusion and reduction) to commutative algebras in Drinfeld categories. From a geometric point of view, this construction can be understood as a quantization of the quasi-Poisson structures on moduli spaces of flat connections.
- Subjects
GEOMETRIC quantization; DEFORMATION of surfaces; LIE groups; MODULAR fields (Algebra); POISSON manifolds
- Publication
IMRN: International Mathematics Research Notices, 2015, Vol 2015, Issue 15, p6734
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnu154