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arXiv · 2209.01997

Intersection Numbers from Higher-order Partial Differential Equations

Vsevolod Chestnov·Hjalte Frellesvig·Federico Gasparotto·Manoj K. Mandal·Pierpaolo Mastrolia
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Abstract

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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Vsevolod Chestnov, Hjalte Frellesvig, Federico Gasparotto, Manoj K. Mandal, Pierpaolo Mastrolia. 2022-09-05. Intersection Numbers from Higher-order Partial Differential Equations. https://doi.org/10.1007/jhep06(2023)131

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