Equivariant quantum cohomology of cotangent bundle of G/P

Let G denote a complex semisimple linear algebraic group, P a parabolic subgroup of G   and P=G/PP=G/P. We identify the quantum multiplication by divisors in T⁎PT⁎P in terms of stable basis, which is introduced in [9]. Using this and the restriction formula for stable basis [17], we show that the G×C⁎G×C⁎-equivariant quantum multiplication formula in T⁎PT⁎P is conjugate to the formula conjectured by Braverman.