Victor Buchstaber and Svjetlana Terzić showed that the quotient of the complex Grassmannian G(2,4) by the natural action of the compact 4-torus is a topological sphere. Interestingly G(2,4) coincides with the Grassmannian of oriented planes in R^6. This observation offers two possible direction to generalise the result of Buchstaber and Terzić. Either to higher dimensional complex or to higher dimensional oriented Grassmannians. I am going to discuss why the first generalisation is much harder to achieve than the second. On the way I will touch some useful concepts from algebraic and symplectic Geometry.