Intersection numbers from higher-order partial differential equations

被引：0
|
作者：
Vsevolod Chestnov
Hjalte Frellesvig
Federico Gasparotto
Manoj K. Mandal
Pierpaolo Mastrolia
机构：
[1] Università degli Studi di Padova,Dipartimento di Fisica e Astronomia
[2] INFN,Niels Bohr International Academy
[3] Sezione di Padova,PRISMA Cluster of Excellence, Institut für Physik
[4] University of Copenhagen,undefined
[5] Johannes Gutenberg-Universität Mainz,undefined
来源：
Journal of High Energy Physics | / 2023卷
关键词：
Differential and Algebraic Geometry; Scattering Amplitudes;
D O I：
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学科分类号：
摘要：
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.
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