Positive Configuration Space
Positive Configuration Space
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DOI：
10.1007/s00220-021-04041-x
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发表时间：
2020-03
影响因子：
2.4
通讯作者：
N. Arkani-Hamed;T. Lam;M. Spradlin
中科院分区：
文献类型：
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作者：
N. Arkani-Hamed;T. Lam;M. Spradlin
我们定义并研究了格拉斯曼的 Chow 商的完全非负部分，或者更简单地非负配置空间。该空间具有正 Chow 细胞的自然分层，并且我们表明非负构型空间作为分层空间与多胞体同胚。我们在正 Chow 细胞和以下集合之间建立双射：（a）将超单纯形规则细分为正多面体，（b）正热带格拉斯曼中的锥体组，以及（c）正 Dressian 中的锥体组。我们的工作受到与超杨-米尔斯散射振幅的联系的启发，这将在续集中讨论。
We define and study the totally nonnegative part of the Chow quotient of the Grassmannian, or more simply thenonnegative configuration space. This space has a natural stratification bypositive 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.