Formality morphism as the mechanism of $\star$-product associativity: how it works

• Date: 2019
• Author Affiliations: R. Buring — Johannes Gutenberg University Mainz; A. Kiselev — University of Groningen
• Keywords: keywords
• Main Authors: Buring, R., Kiselev, A., Бурінг, Р., Кісєльов, А.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/365
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The formality morphism $\boldsymbol{\mathcal{F}}=\{{\mathcal{F}}_n$, $n\geqslant1\}$ in Kontsevich's deformation quantization is a collection of maps from tensor powers of the differential graded Lie algebra (dgLa) of multivector fields to the dgLa of polydifferential operators on finite-di...