Gauge models in modified triplectic quantization

The modified triplectic quantization is applied to several well-known gauge models: the Freedman-Townsend model of non-Abelian antisymmetric tensor fi elds, W-2 gravity, and 2D gravity with dynamical torsion. For these models we obtain explicit solutions of those generating equations that determine t he quantum action and the gauge-fixing functional. Using these solutions, w e construct the vacuum functional, determine the Sp(2)-invariant effective actions and obtain the corresponding transformations of extended BRST symme try.