A tree expansion formula of a homology intersection number on the configuration space $M_{0,n}$
A tree expansion formula of a homology intersection number on the configuration space $M_{0,n}$
复制标题
配置空间$M_{0,n}$上同源交集数的树展开公式
DOI：
10.1007/s00023-021-01041-4
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Saiei-Jaeyeong Matsubara-Heo
中科院分区：
文献类型：
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作者：
Funaki Tadahisa;Hoshino Masato;Sethuraman Sunder;Xie Bin;J. Takahashi;Saiei-Jaeyeong Matsubara-Heo
在Mizera （J High Energy Phys 8:07, 2017）中，Sebastian Mizera发现了位形空间上同调交数的树展开公式。该公式起源于对弦理论中kawai - lewellen - type关系的研究。本文给出了该公式的初等证明。其基本成分是实模空间的组合学和与结合面体面数有关的组合恒等式。
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. 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 spaceand a combinatorial identity related to the face number of the associahedron.