On the conjecture [formula omitted] of GGI for G/P.

In this paper, we show that general homogeneous manifolds G / P satisfy Conjecture O of Galkin, Golyshev and Iritani which ‘underlies’ Gamma conjectures I and II of them. Our main tools are the quantum Chevalley formula for G / P and a theory on nonnegative matrices including Perron–Frobenius theorem. [ABSTRACT FROM AUTHOR]