In Definition 3.4, ${\mathbin{\smash{\,\overline{\!\mathcal{A}}}}}_{\alpha}$ is the heart of a bounded t-structure on $D^{b}{\mathbin{\mathscr{F}}}(M),$ and so ${\mathbin{\cal A}}_{\alpha},{\mathbin{\smash{\,\overline{\!\mathcal{A}}}}}_{\alpha}$ are abelian categories, and (3.3) becomes a short exact sequence in ${\mathbin{\cal A}}_{\alpha}$ or ${\mathbin{\smash{\,\overline{\!\mathcal{A}}}}}_{\alpha}$. Furthermore, the Bridgeland stability condition $(Z,{\mathbin{\cal P}})$ on $D^{b}{\mathbin{\mathscr{F}}}(M)$ in Conjecture 3.2 may be described as follows: $Z$ is defined by (3.1), and ${\mathbin{\cal P}}(\alpha)=\emptyset,$ and for each $\beta\in(\alpha,\alpha+1),$ ${\mathbin{\cal P}}(\beta)$ is the full subcategory of semistable objects $(L,E,b)$ in ${\mathbin{\smash{\,\overline{\!\mathcal{A}}}}}_{\alpha}$ with $\phi(L)=\pi\beta$.