A tree expansion formula of a homology intersection numbers on the configuration space $\mathcal{M}_{0,n}$
Combinatorics
2021-08-04 v1 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Abstract
In \cite{M}, 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 space and a combinatorial identity related to the face number of the associahedron.
Keywords
Cite
@article{arxiv.2010.14142,
title = {A tree expansion formula of a homology intersection numbers on the configuration space $\mathcal{M}_{0,n}$},
author = {Saiei-Jaeyeong Matsubara-Heo},
journal= {arXiv preprint arXiv:2010.14142},
year = {2021}
}
Comments
17 pages, 6 figures. Comments are welcome