Evans–Lekili conjecture on small resolutions of compound Du Val singularities

Let $P \in X$ be a compound Du Val singularity, let $\Uv$ be its Milnor fiber, and let $\SH^i(\Uv)$ denote its symplectic cohomology in degree $i$. Evans–Lekili conjecture. The singularity $P$ admits a small resolution if and only if $\dim \SH^i(\Uv)$ is constant for every negative cohomological degree. If this holds, that common dimension equals the number of irreducible components of the exceptional locus of a small resolution. The conjecture is proposed in the cited work, and no resolution status is supplied here.