We show that the moduli spaces of Thaddeus pairs on smooth projective curves and those of dual pairs are related by d-critical flips, which are virtual birational transformations introduced by the second author. We then prove the existence of fully-faithful functors between derived categories of coherent sheaves on these moduli spaces. Our result gives an evidence of a d-critical analogue of Bondal-Orlov, Kawamata's D/K equivalence conjecture, and also a categorification of wall-crossing formula of Donaldson-Thomas type invariants on ADHM sheaves introduced by Diaconescu.

中文翻译：

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通过 d-critical 翻转推导出 Thaddeus 对模空间的类别

我们表明平滑投影曲线上的 Thaddeus 对的模空间和对偶对的模空间通过 d 临界翻转相关，这是第二作者引入的虚拟双有理变换。然后，我们证明了这些模空间上相干滑轮的派生类别之间存在完全忠实的函子。我们的结果证明了 Bondal-Orlov 的 d 临界类似物、Kawamata 的 D/K 等价猜想，以及 Diaconescu 引入的 ADHM 滑轮上 Donaldson-Thomas 型不变量的穿墙公式的分类。