Intersection numbers from higher-order partial differential equations
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Intersection numbers from higher-order partial differential equations. / Chestnov, Vsevolod; Frellesvig, Hjalte; Gasparotto, Federico; Mandal, Manoj K.; Mastrolia, Pierpaolo.
I: Journal of High Energy Physics, Bind 2023, Nr. 6, 131, 06.2023.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Intersection numbers from higher-order partial differential equations
AU - Chestnov, Vsevolod
AU - Frellesvig, Hjalte
AU - Gasparotto, Federico
AU - Mandal, Manoj K.
AU - Mastrolia, Pierpaolo
N1 - Publisher Copyright: © 2023, The Author(s).
PY - 2023/6
Y1 - 2023/6
N2 - 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.
AB - 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.
KW - Differential and Algebraic Geometry
KW - Scattering Amplitudes
U2 - 10.1007/JHEP06(2023)131
DO - 10.1007/JHEP06(2023)131
M3 - Journal article
AN - SCOPUS:85162871451
VL - 2023
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 6
M1 - 131
ER -
ID: 371695606