关于格拉斯曼残基的分类
On the Classification of Residues of the Grassmannian
摘要：
研究了格拉斯曼流形上积分留数形式的散射振幅的导奇异性。我们递归地做从扭量到动量扭量的转换，并得到一个迭代公式，涉及一系列的对偶扭量变量的杨不变量。这被证明是有用的，在解决的问题进行分类的残留物的格拉斯曼。迭代公式自然导致新的坐标格拉斯曼在复合和非复合残留出现在平等的基础上。我们写在这些新的变量的剩余定理和分类的一些简单的例子独立的剩余。这些变量也明确表现出不同的解决方案，人们希望找到一个给定的一组消失的未成年人从舒伯特演算。
英文摘要：
We study leading singularities of scattering amplitudes which are obtained as residues of an integral over a Grassmannian manifold. We recursively do the transformation from twistors to momentum twistors and obtain an iterative formula for Yangian invariants that involves a succession of dualized twistor variables. This turns out to be useful in addressing the problem of classifying the residues of the Grassmannian. The iterative formula leads naturally to new coordinates on the Grassmannian in terms of which both composite and non-composite residues appear on an equal footing. We write down residue theorems in these new variables and classify the independent residues for some simple examples. These variables also explicitly exhibit the distinct solutions one expects to find for a given set of vanishing minors from Schubert calculus.
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