Geometrical action for $w_\infty$ algebra as a reduced symplectic   Chern-Simons theory
  The geometric action on a certain orbit of the group of the area-preserving diffeomorphisms is considered, and it is shown, that it coincides with a special reduction of the three-dimensional Chern-Simons theory, under which group and space coordinates are identified. 
R.P. Manvelyan and R.L. Mkrtchyan (Yerevan Physics Institute)