Intersection Numbers from Higher-order Partial Differential Equations
High Energy Physics - Theory
2023-07-12 v3
Abstract
We propose a new method for the evaluation of intersection numbers for twisted meromorphic -forms, through Stokes' theorem in dimensions. It is based on the solution of an -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.
Cite
@article{arxiv.2209.01997,
title = {Intersection Numbers from Higher-order Partial Differential Equations},
author = {Vsevolod Chestnov and Hjalte Frellesvig and Federico Gasparotto and Manoj K. Mandal and Pierpaolo Mastrolia},
journal= {arXiv preprint arXiv:2209.01997},
year = {2023}
}
Comments
37 pages, matches published version, added ancillary files