Invariant of the hypergeometric group associated to the quantum cohomology of the projective space

We begin with a short review on the motivation of our problem making reference to the works [5], [10] where one can find precise definitions of the notions below. At first, we consider a k− dimensional Frobenius manifold F with flat coordinates (t1, · · · , tk)∈ F where the coordinate ti corresponds to coefficients of the basis ∆i of the quantum cohomology H ∗(CP). On H∗(CP) one can define so called quantum multiplication ∆α •∆β = C γ α,β∆γ , or ∂ ∂tα · ∂ ∂tβ = C α,β ∂ ∂tγ ,