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An explicit formula for the deformation quantization of Lie bialgebras

Boris Shoikhet
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Abstract

A model of 3-dimensional topological quantum field theory is rigorously constructed. The results are applied to an explicit formula for deformation quantization of any finite-dimensional Lie bialgebra over the field of complex numbers. This gives an explicit construction of "quantum groups" from any Lie bialgebra, which was proven without explicit formulas in [EK].

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Boris Shoikhet. 2004-02-03. An explicit formula for the deformation quantization of Lie bialgebras. https://arxiv.org/abs/math/0402046

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