Supersymmetry and cohomology of graph complexes

Serguei Barannikov (1)

1 DMA - Département de Mathématiques et Applications - ENS Paris

I construct cohomology classes on stable ribbon graph complex using as initial ingredient a supersymmetry operator, whose square is nonzero in general, acting on finite-dimensional algebra.

Mots clés: Graph complex; moduli spaces; Chern-Simons; Gromov-Witten invariants

Domaines: Géométrie algébrique [math.AG]

Serguei Barannikov. Supersymmetry and cohomology of graph complexes. 2009. ⟨hal-00429963⟩