%0 Journal Article
%T Solving the noncommutative Batalin-Vilkovisky equation
%A Serguei Barannikov
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s11005-013-0615-8
%X I show that a summation over ribbon graphs with legs gives the construction of the solutions to the noncommutative Batalin-Vilkovisky equation, including the equivariant version. This generalizes the known construction of A-infinity algebra via summation over ribbon trees. These solutions give naturally the supersymmetric matrix action functionals, which are the gl(N)-equivariantly closed differential forms on the matrix spaces, which were introduced in one of my previous papers "Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals" (arXiv:0912.5484, electronic CNRS preprint hal-00102085(28/09/2006)).
%U http://arxiv.org/abs/1004.2253v2