Morsification conjecture for topological exceptional collections of vanishing arcsets

Let $f$ be a plane curve singularity, and let $(K_1,\ldots,K_mu)$ be a topological exceptional collection of geometric vanishing arcsets. For each arcset, take its variation image, which is a vanishing cycle of a Morsification of $f$.

Morsification conjecture for topological exceptional collections. The ordered collection of vanishing cycles obtained from a topological exceptional collection of geometric vanishing arcsets is isotopic to the distinguished collection of vanishing cycles of a Morsification of $f$.

The definition of a topological exceptional collection guarantees triangularity properties for the associated Seifert form but does not itself guarantee that the variation images arise from one Morsification. The conjecture asserts precisely this compatibility and remains open based on the supplied context.