In a previous paper, the first two named authors established an isomorphism between the moduli space of framed flags of sheaves on the projective plane and the moduli space of stable representations of a certain quiver. In the present note, we substitute one of the claims made, namely [5, Theorem 17], for a weaker claim regarding the existence of unobstructed points in the quiver moduli space. We also extend some of the results of the cited paper, concerning the maximal stability chamber within which the isomorphism mentioned holds, and the existence of a perfect obstruction theory for the quiver moduli space.

中文翻译：

---

滑轮在投影平面上的成帧标记的模空间的阻碍理论

在先前的论文中，前两位具名作者在投影平面上的滑轮的成帧标记的模空间与某个颤抖的稳定表示的模空间之间建立了同构。在本说明中，我们用关于[5，定理17]的一项权利要求代替了关于在模量模空间中存在畅通点的较弱的权利要求。我们还扩展了所引用论文的一些结果，涉及提到的同构性所在的最大稳定性腔，以及对于颤动模空间的完美障碍理论的存在。