Derived categories of Thaddeus pair moduli spaces via d-critical flips
Derived categories of Thaddeus pair moduli spaces via d-critical flips
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DOI：
10.1016/j.aim.2021.107965
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发表时间：
2019-04
期刊：
影响因子：
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通讯作者：
Naoki Koseki;Yukinobu Toda
中科院分区：
文献类型：
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作者：
Naoki Koseki;Yukinobu Toda
我们证明了光滑射影曲线上的Thaddeus对的模空间和对偶对的模空间是由第二作者引入的虚双有理变换d-临界翻转所关联的。然后，我们证明了这些模空间上的凝聚层的派生范畴之间的完全忠实函子的存在性。我们的结果证明了Bondal-Orlov的d-临界类比，Kawamata的D/K等价猜想，也证明了Diaconescu在ADHM层上引入的Donaldson-Thomas型不变量的跨壁公式的一个分类.
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.