论文标题
探针和不良滑轮II。带有系数的空间和0循环
PROBs and perverse sheaves II. Ran spaces and 0-cycles with coefficients
论文作者
论文摘要
我们考虑在复杂线C上的空间z（c，l），其系数在受到某些条件下的交换性单体中。这样的空间包括对称产品（对于L = Z_+）和RAN空间（对于L = t = {true，false}是真实值的布尔代数）。我们根据通用$ l $ reded Bialgebra的组件生成的编织类别（prob）来描述z（c，l）上适当定义的变形带轮类别。我们在所谓的janus或骨上给出了另一个描述，该剪子是混合功能的对象（朝一个方向协变而在另一个方向上协变），这是由某些矩阵形成的类别。
We consider the space Z(C,L) of 0-cycles on the complex line C with coefficients in a commutative monoid L subject to certain conditions. Such spaces include the symmetric products (for L=Z_+) and the Ran space (for L=T={ True, False} being the Boolean algebra of truth values). We describe the appropriately defined category of perverse sheaves on Z(C,L) in terms of the braided category (PROB) generated by the components of the universal $L$-graded bialgebra. We give another description in terms of so-called Janus sheaves which are objects of mixed functoriality (data covariant in one direction and contravariant in the other) on a category formed by certain matrices with entries in L. The matrices in question are analogs of contingency tables familiar in statistics.
