The notion of Batalin-Vilkovisky algebra appears in any many fields of mathematics like differential geometry, mathematical physics and algebraic topology for instance. In this talk, I will make the minimal model of the operad encoding Batalin-Vilkovisky algebras explicit. The main application is a homotopy interpretation and generalization of a result of Barannikov-Kontsevich and Manin, which states that the homology of a BV-algebra, satisfying some conditions, carries a Frobenius manifold structure.
Affiliation:U de Nice - Sophia Antipolis/MPI
Date:Tue, 2011-02-22 14:00 - 15:00