an introduction to DEFORMATION QUANTIZATION after Kontsevich
نویسنده
چکیده
منابع مشابه
Kontsevich formality and PBW algebras
This paper is based on the author’s paper ”Koszul duality in deformation quantization, I”, with some improvements. In particular, an Introduction is added, and the convergence of the spectral sequence in Lemma 2.1 is rigorously proven. Some informal discussion in Section 1.5 is added.
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Let α be a quadratic Poisson bivector on a vector space V . Then one can also consider α as a quadratic Poisson bivector on the vector space V ∗[1]. Fixed a universal deformation quantization (prediction of some complex weights to all Kontsevich graphs [K97]), we have deformation quantization of the both algebras S(V ∗) and Λ(V ). These are graded quadratic algebras, and therefore Koszul algebr...
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