A recent paper [16] studied properties of a compactification of the moduli space of irreducible Hermitian–Yang–Mills connections on a hermitian bundle over a projective algebraic manifold. In this follow-up note, we show that the Yang–Mills flow at infinity on the space of semistable integrable connections defines a continuous map to the set of ideal connections used to define this compactification. Part of the proof involves a comparison between the topologies of the Grothendieck Quot scheme and the space of smooth connections.

中文翻译：

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半稳定丛集上杨-米尔斯流的连续性

最近的一篇论文 [16] 研究了射影代数流形上厄米丛上不可约厄米-杨-米尔斯连接的模空间的紧化性质。在此后续说明中，我们展示了半稳定可积连接空间上无穷远处的杨-米尔斯流定义了到用于定义这种紧化的理想连接集的连续映射。部分证明涉及 Grothendieck Quot 方案的拓扑结构与平滑连接空间之间的比较。