Stokes matrices for the quantum differential equations of some Fano varieties

Abstract

The classical Stokes matrices for the quantum differential equation of $$\mathbb {P}^n$$ are computed using multisummation and the ‘monodromy identity’. Thus, we recover the results of D. Guzzetti that confirm Dubrovin’s conjecture for projective spaces. The same method yields explicit formulas for the Stokes matrices of the quantum differential equations of smooth Fano hypersurfaces in $$\mathbb {P}^n$$ and for weighted projective spaces.