A-infinity GL(N)-equivariant matrix integrals-II. The nc-BV differential, (stable) ribbon graphs and compacti…fied moduli spaces.

Serguei Barannikov (1)

1 IMJ - Institut de Mathématiques de Jussieu

I review my previous results on the combinatorial aspects of my noncommutative Batalin-Vilkovisky formalism, related with stable ribbon graphs and compactified moduli spaces, I describe the combinatorial construction of cocycles representing products of psi-classes, arising from the asymptotic expansion of the supersymmetric extension of the matrix Airy integral

Mots clés: Matrix integrals; A-infinity algebras; Ribbon graphs; Moduli spaces; Batalin-Vilkovisky

Domaines: Algèbres quantiques [math.QA]; Géométrie algébrique [math.AG]

Serguei Barannikov. A-infinity GL(N)-equivariant matrix integrals-II. The nc-BV differential, (stable) ribbon graphs and compacti…fied moduli spaces.. This is the second part of the series of three lectures which I gave at "D-branes, Effective Actions and Homological Mirror Symmetry" conference, Jun 2010, Vienna, Austria. ⟨hal-00494330⟩