Kontsevich Deformation Quantization and Flat Connections |
| |
| Authors: | Anton Alekseev Charles Torossian |
| |
| Institution: | 1. Section de Mathématiques, Université de Genève, 2-4 Rue du Lièvre, C.P. 64, 1211, Genève 4, Switzerland
2. Institut Mathématiques de Jussieu, Université Paris 7, CNRS, Case 7012, 2 Place Jussieu, 75005, Paris, France
|
| |
| Abstract: | In Torossian (J Lie Theory 12(2):597–616, 2002), the second author used the Kontsevich deformation quantization technique
to define a natural connection ω
n
on the compactified configuration spaces `(C)]n,0{\overline{C}_{n,0}} of n points on the upper half-plane. Connections ω
n
take values in the Lie algebra of derivations of the free Lie algebra with n generators. In this paper, we show that ω
n
is flat. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
