论文标题
米尔诺束带的黎曼表面上的不良滑轮
Perverse sheaves on Riemann surfaces as Milnor sheaves
论文作者
论文摘要
可以用出口路径类别的表示，在分层空间上的Abelian群体的可构造滑轮。在这项工作中，我们以表面所谓的帕环类别的表示，在分层表面上提供了类似的Abelian类别的反向滑轮类别。该类别将混合出口式行为建模相对于选定的方向扇区，将其“在”出口和入口路径类别之间放置。特别是，这种观点得出了对不正正滑轮的内在定义，即作为Abelian类别，而无需参考派生类别和T结构。
Constructible sheaves of abelian groups on a stratified space can be equivalently described in terms of representations of the exit-path category. In this work, we provide a similar presentation of the abelian category of perverse sheaves on a stratified surface in terms of representations of the so-called paracyclic category of the surface. The category models a hybrid exit-entrance behaviour with respect to chosen sectors of direction, placing it "in between" exit and entrance path categories. In particular, this perspective yields an intrinsic definition of perverse sheaves as an abelian category without reference to derived categories and t-structures.
