论文标题
在某些模束空间上的分类SL_2动作
A categorical sl_2 action on some moduli spaces of sheaves
论文作者
论文摘要
我们研究了Markman，Yoshioka和Nakajima的作品的K3表面上的模束空间的某些序列。我们表明，这些序列可以从cautis，kamnitzer和licata的意义上给出几何分类SL_2动作的结构。作为推论，我们在某些模量空间的派生类别之间获得了等效性，这些模量空间是通过分层的mukai flops赋予的。
We study certain sequences of moduli spaces of sheaves on K3 surfaces, building on work of Markman, Yoshioka, and Nakajima. We show that these sequences can be given the structure of a geometric categorical sl_2 action in the sense of Cautis, Kamnitzer, and Licata. As a corollary, we get an equivalence between derived categories of some moduli spaces that are birational via stratified Mukai flops.
