A tree expansion formula of a homology intersection numbers on the configuration space M0,n
Abstract
In M, Sebastian Mizera discovered a tree expansion formula of a homology intersection number on the configuration space M0,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 M0,n() and a combinatorial identity related to the face number of the associahedron.
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