Recursive monodromy conjecture for irreducible discriminant slices

Let $X_{\zeta_{+}}$ be any Calabi–Yau threefold constructed by the GLSM flop procedure, with coordinates $z_{1},\ldots,z_{r}$ and divisors $\widehat D_{\alpha-1,\alpha}$. Assume that each intersection $\Delta\cap\widehat D_{\alpha-1,\alpha}$ is irreducible. Let $n^{(\alpha)}$ be the corresponding sums of multi-degrees, let $L_{\alpha}$ be the large-volume monodromies, and let $M_{\alpha}$ denote the successive discriminant monodromies. Recursive monodromy conjecture. The monodromy $M_{0}$ has the recursive form

$$M_{r}:=T_{\mathcal O_{X_{\zeta_{+}}}},\qquad M_{\alpha}=(M_{\alpha+1}L_{\alpha+1})^{n^{(\alpha+1)}}L_{\alpha+1}^{-n^{(\alpha+1)}},\qquad \alpha=0,\ldots,r-1,$$

and at every stage

$$(M_{\alpha}L_{\alpha})^{n^{(\alpha)}}=(L_{\alpha}M_{\alpha})^{n^{(\alpha)}},\qquad \alpha=1,\ldots,r.$$

Moreover, these forms are independent of the labeling of $z_{1},\ldots,z_{r}$. The conjecture proposes a uniform recursive description of monodromy for all such GLSM constructions under the stated irreducibility hypothesis.