  We construct a supermanifold ST which turns to be an open subset of a
superquadric Q(5|6) subset P^{3|3}times P^{3|3}. The Dolbeault algebra
Omega^{0*}(ST) is quasiisomorphic to N=3, D=4 YM algebra in Batalin-Vilkovisky
formulation. We construct a dbar-closed functional tr:Omega^{0*}(ST)=>C. We
conjecture that Chern-Simons theory associated with a triple
Omega^{0*}(ST)\otimes Mat_n,dbar,tr tr_{Mat_n}) is equivalent to N=3, D=4 YM
theory with gauge group U_n in euclidean signature.
