Tom, could you please explain if the equivariant redundancy is necessary for the proper mirror map or can be ommited?

In particular, could you please write what is in the definition of Givental’s I-function.

There is a redundancy of these parameters: divisors form a base for space of T-equivariant divisor classes,

but are linearly dependant in the non-equivariant Picard group: .

Is d any class or a class of effective curve on and ?

Also, variety F has an action of torus T, but complete intersection X already doesn’t admit such action.

So as an equation in $Pic(X)$ doesn’t define values of k_i,

should we abandon equivariant parameters in any way and restrict ourselves to the non-equivariant only (in the example this is done indeed)?