Equivariant analogue of
We can now construct the equivariant analogue of using the Cartan model of equivariant cohomology.
It will be equivariant with respect to some subalgebra of symmetries which we will describe shortly.
1 Cartan model of equivariant cohomology
 

We will restrict the Lie algebra of symmetries so that for any
we can solve the following equation for :
 

2 Equivariant analogue of
