Refined symplectic-cohomology formula for small Q-factorializations

Let $Y \to X$ be a small $\bQ$-factorialization of a compound Du Val singularity $P \in X$. Let $\ell$ be the number of irreducible components of the exceptional locus, let $\Uv$ be the Milnor fiber of $P \in X$, and let $\Uv_1,\ldots,\Uv_r$ be the Milnor fibers of the resulting $\bQ$-factorial singularities $Q_1,\ldots,Q_r \in Y$. Refined Evans–Lekili conjecture. For every $i<0$,

$$\dim \SH^i(\Uv)=\sum_{j=1}^r\dim \SH^i(\Uv_j)+\ell.$$

This refinement is based on unpublished calculations and is proposed as a strengthening of the preceding conjecture; its resolution status is not given.