论文标题

决定因素,甚至是Instantons和Bridgeland稳定性

Determinants, even instantons and Bridgeland stability

论文作者

Pretti, Victor

论文摘要

我们提供了一种计算与给定特殊收藏相关的箭量区域的系统方法,该收集用来证明以$ 2 $ - 步骤的复合体表示的$μ$稳定的滑轮是Bridgeland稳定的。在后面的部分中,我们将重点放在$ \ mathbb {p}^3 $和$ q_3 $上的$ 2 $ instantons的情况下,以证明Instanton Sheaves,instanton捆绑包和胶合Istantons是bridgeland稳定的,并提供了近距离实际壁附近的Moduli空间的描述。

We provide a systematic way of calculating a quiver region associated to a given exceptional collection, which as an application is used to prove that $μ$-stable sheaves represented by $2$-step complexes are Bridgeland stable. In the later sections, we focus on the case of even rank $2$ instantons over $\mathbb{P}^3$ and $Q_3$ to prove that the instanton sheaves, instanton bundles and perverse instantons are Bridgeland stable and provide a description of the moduli space near their only actual wall.

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