  Suppose $\mathcal{F}\in D_{c}^{b}(X_{L},K_{L})$ and write $$CC(\mathcal{F})=\sum_{K_{L}-\mathrm{orbits }~S_L~\mathrm{in}~X_{L}} \chi_{S_L}^{mic}(\mathcal{F})[\overline{T_{S}^{\ast}X_{L}}]$$ for the corresponding characteristic cycle. From 