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A Tree Expansion Formula of a Homology Intersection Number on the Configuration Space M-0(,n)

机译:配置空间M-0(,n)上的同源交叉编号的树扩展公式

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摘要

In Mizera (J High Energy Phys 8:097, 2017) , Sebastian Mizera discovered a tree expansion formula of a homology intersection number on the configuration space M-0,M-n. The formula originates in a study of Kawai-Lewellen-Tye relation in string theory. In this paper, we give an elementary proof of the formula. The basic ingredients are the combinatorics of the real moduli space (M) over bar (0,n) (R) and a combinatorial identity related to the face number of the associahedron.
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