Choix des signes pour la formalite de M. Kontsevich

2000/03/01 by Didier Arnal, D. Arnal, Arnal, D. +6 · 3 citations
Arts and Humanities · Mathematics · #53D55 #FOS: Mathematics #Historical Linguistics and Language Studies #History and Theory of Mathematics #Philosophical and Theoretical Analysis #Quantum Algebra (math.QA) #math.QA #msc:53D55

paper · pdf · doi:10.48550/arxiv.math/0003003

34 pages, plain TeX, 6 epsf figures, written in French

arxiv created 2000/03/01 · openalex publication_date 2000/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The explicit realization of M. Kontsevich's formality on R^d is the main step of the proof of formality theorem on any manifold. We present here a coherent choice of orientations and signs in order to write completely M. Kontsevich's proof for R^d, including all the signs appearing in the formality equation.

Cited by

• Quantum Systems Exactly
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• Construction of gauge theories on curved noncommutative spacetime

Related

• Another proof of M. Kontsevich formality theorem
• Symmetric multiplicative formality of the Kontsevich operad
• Deformation Quantisation via Kontsevich Formality Theorem
• Deformation Quantization on ℝ^d
• Formality conjecture for chains