The two-point vanishing conjecture for Gromov–Witten invariants

Let $X$ be a smooth projective variety, let $\{\gamma_a\}$ and $\{\gamma^a\}$ be dual bases of $H^*(X,\mathbb Q)$, and let $g$ and $k$ be integers with $k>g$. Two-point vanishing conjecture. One has

$$\sum_{j=0}^{2k}(-1)^j\langle\langle\tau_j(\gamma_a)\tau_{2k-j}(\gamma^a)\rangle\rangle_g^X=0.$$

This is a specialization of the paper's proposed universal vanishing identities for Gromov–Witten invariants. The supplied source gives no proof or evidence resolving this specialization.