The Calabi–Yau critical-value conjecture

Let $X$ be a symplectic manifold, let $\frak b\in H^{\rm even}(X;\Lambda_0)$ be a bulk class, and let $\operatorname{Crit}(X,\operatorname{st},\frak b)$ be the set of bulk-deformed potential values arising from $\operatorname{st}$-relatively spin Lagrangians with nonzero self-Floer cohomology.

Calabi–Yau critical-value conjecture. If $c^1(X)=0$, then

$$\operatorname{Crit}(X,\operatorname{st},\frak b)=\{0\}.$$

This predicts that in the Calabi–Yau case the only such critical value is zero. The supplied text gives no resolution status.