论文标题
正配置空间
Positive configuration space
论文作者
论文摘要
我们定义并研究了格拉斯曼尼亚人（Grassmannian）的Chow商的完全非负部分，或更简单的非负构型空间。该空间具有阳性Chow细胞的自然分层，我们表明非负构型空间对多层作为分层空间是同型的。我们在阳性杂志细胞和以下组之间建立了射击：（a）催眠术中的定期细分成阳性多型，（b）阳性热带司司曼尼亚式中的锥集，以及（c）阳性装饰式中的圆锥体。我们的工作是通过与超级阳米尔斯散射幅度的联系的动机，这将在续集中进行讨论。
We define and study the totally nonnegative part of the Chow quotient of the Grassmannian, or more simply the nonnegative configuration space. This space has a natural stratification by positive Chow cells, and we show that nonnegative configuration space is homeomorphic to a polytope as a stratified space. We establish bijections between positive Chow cells and the following sets: (a) regular subdivisions of the hypersimplex into positroid polytopes, (b) the set of cones in the positive tropical Grassmannian, and (c) the set of cones in the positive Dressian. Our work is motivated by connections to super Yang-Mills scattering amplitudes, which will be discussed in a sequel.
