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Intersection numbers from higher-order partial differential equations

delete2023-06-22
delete13
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OA
AI
V
Vsevolod Chestnov *
H
Hjalte Frellesvig
F
Federico Gasparotto
M
Manoj K. Mandal
P
Pierpaolo Mastrolia
DOI:10.1007/JHEP06(2023)131delete
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摘要

摘要

En 中文
We propose a new method for the evaluation of intersection numbers for twisted meromorphic n-forms, through Stokes' theorem in n dimensions. It is based on the solution of an n-th order partial differential equation and on the evaluation of multivariate residues. We also present an algebraic expression for the contribution from each multivariate residue. We illustrate our approach with a number of simple examples from mathematics and physics.
Keyword:
Differential and Algebraic Geometry
Scattering Amplitudes

期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
3.9W
被引数:
13.7W

机构

U
University of Copenhagen
学者数:
7.6W
论文数: 6.6W
被引数: 86
I
istituto nazionale di fisica nucleare (infn)
学者数:
3.0W
论文数: 1.2W
被引数: 14
U
University of Padua
学者数:
5.1W
论文数: 4.3W
被引数: 57
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