Quantization of lie bialgebras via the formality of the operad of little disks

Dmitry Tamarkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We give a proof of the Etingof-Kazhdan theorem on quantization of Lie bialgebras based on the formality of the chain operad of little disks and show that the Grothendieck-Teichmüller group acts non-trivially on the corresponding quantization functors.

Original languageEnglish (US)
Pages (from-to)537-604
Number of pages68
JournalGeometric and Functional Analysis
Volume17
Issue number2
DOIs
StatePublished - Jun 2007

Keywords

  • Drinfeld associator
  • Etingof-Kazhdan quantization
  • Gerstenhaber algebra
  • Hopf algebra
  • Lie bialgebra
  • Operad
  • PROP
  • Symmetric monoidal category
  • t-structure

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

Fingerprint Dive into the research topics of 'Quantization of lie bialgebras via the formality of the operad of little disks'. Together they form a unique fingerprint.

Cite this