Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals

Serguei Barannikov (1)

1 DMA - Département de Mathématiques et Applications - ENS Paris

We describe matrix model associated naturally with any solution to quantum master equation of noncommutative Batalin-Vilkovisky geometry. In the simplest example we get the Kontsevich model of 2-dimensional gravity.

Domaines: Géométrie algébrique [math.AG]

Serguei Barannikov. Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals. 2006. ⟨hal-00102085v1⟩