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.

Intersection Numbers from Higher-order Partial Differential Equations

Vsevolod Chestnov;Hjalte Frellesvig;Federico Gasparotto;Manoj K. Mandal
;
Pierpaolo Mastrolia
Supervision
2022

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3461278
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