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- Title
Intersection numbers from higher-order partial differential equations.
- Authors
Chestnov, Vsevolod; Frellesvig, Hjalte; Gasparotto, Federico; Mandal, Manoj K.; Mastrolia, Pierpaolo
- 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.
- Subjects
INTERSECTION numbers; PARTIAL differential equations; MATHEMATICAL physics; MEROMORPHIC functions; STOKES equations; ALGEBRAIC geometry; SCATTERING amplitude (Physics)
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 6, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP06(2023)131