The necessity of wheels in universal quantization formulas

Giuseppe Dito (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

In the context of formal deformation quantization, we provide an elementary argument showing that any universal quantization formula necessarily involves graphs with wheels.

Mots clés: Deformation quantization; Universal formulas; Kontsevich graphs

Domaines: Physique mathématique [math-ph]

Giuseppe Dito. The necessity of wheels in universal quantization formulas. 2013. ⟨hal-00852375v2⟩