M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra

Understand

We show that the zeroth cohomology of M.

• Kontsevich's graph complex is isomorphic to the Grothendieck-Teichmueller Lie algebra grt_1.
• The map is explicitly described.
• This result has applications to deformation quantization and Duflo theory.