Modified Gamma conjecture I (weak form)

Prove that if a Fano manifold X satisfies Property OA—namely, the A-model conifold value TA,con is a simple rightmost eigenvalue of c1(X)⋆|q=1—then the principal asymptotic class AX equals the Gamma class ΓX.

Background

The original Gamma conjecture I relates the principal asymptotic class of the quantum differential equation to the Gamma class under Property O. Motivated by counterexamples, the authors propose Property OA based on TA,con and formulate a revised conjecture asserting ΓX as the principal asymptotic class under this weaker spectral condition.