The obstruction to the existence of a loopless star product
type: Item
instance of: scholarly article
title: The obstruction to the existence of a loopless star product
zbMATH Open document ID: 1307.53077
author: Thomas Willwacher
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2014-11-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1309.7921
review text: In this note, the author shows the existence of an obstruction to the existence of a star product defined by Kontsevich graphs without direct cycles. This note contains a small calculation showing that a loopless star product does not exist in the non-graded situation either.
reviewed by: Béchir Dali
Mathematics Subject Classification ID: 53D55
zbMATH DE Number: 6368460
zbMATH Keywords: deformation quantization
zbMATH Keywords: star product
zbMATH Keywords: obstructions
MaRDI profile type: Publication
OpenAlex ID: W2963897418
arXiv ID: 1309.7921
cites work: Deformation theory and quantization. I: Deformations of symplectic structures
cites work: Deformation quantization of Poisson manifolds
cites work: Deformation quantization of polynomial Poisson algebras
cites work: An \(L_\infty \) algebra structure on polyvector fields
cites work: The Kontsevich weight of a wheel with spokes pointing outward
cites work: A counterexample to the quantizability of modules
DOI: 10.1016/J.CRMA.2014.09.018
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description: scientific article; zbMATH DE number 6368460