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In arXiv:1901.02990v1 the equivariant quantum differential equation ($qDE$)for a projective space was considered and a compatible system of difference$qKZ$ equations was introduced; the space of solutions to the joint system ofthe $qDE$ and $qKZ$ equations was identified with the space of the equivariant$K$-theory algebra of the projective space; Stokes bases in the space ofsolutions were identified with exceptional bases in the equivariant $K$-theoryalgebra. This paper is a continuation of arXiv:1901.02990v1.  We describe the relation between solutions to the joint system of the $qDE$and $qKZ$ equations and the topological-enumerative solution to the $qDE$ only,defined as a generating function of equivariant descendant Gromov-Witteninvariants. The relation is in terms of the equivariant graded Chern characteron the equivariant $K$-theory algebra, the equivariant Gamma class of theprojective space, and the equivariant first Chern class of the tangent bundleof the projective space.  We consider a Stokes basis, the associated exceptional basis in theequivariant $K$-theory algebra, and the associated Stokes matrix. We show thatthe Stokes matrix equals the Gram matrix of the equivariantGrothendieck-Euler-Poincar\'{e} pairing wrt to the basis, which is the leftdual to the associated exceptional basis.  We identify the Stokes bases in the space of solutions with explicit fullexceptional collections in the equivariant derived category of coherent sheaveson the projective space, where the elements of those exceptional collectionsare just line bundles on the projective space and exterior powers of thetangent bundle of the projective space.  These statements are equivariant analogs of results of G. Cotti, B. Dubrovin,D. Guzzetti, and S. Galkin, V. Golyshev, H. Iritani.

Equivariant quantum differential equation and $qKZ$ equations for a  projective space: Stokes bases as exceptional collections, Stokes matrices as  Gram matrices, and B-Theorem