Intersection numbers from higher-order partial differential equations

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Intersection numbers from higher-order partial differential equations. / Chestnov, Vsevolod; Frellesvig, Hjalte; Gasparotto, Federico; Mandal, Manoj K.; Mastrolia, Pierpaolo.

In: Journal of High Energy Physics, Vol. 2023, No. 6, 131, 06.2023.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Chestnov, V, Frellesvig, H, Gasparotto, F, Mandal, MK & Mastrolia, P 2023, 'Intersection numbers from higher-order partial differential equations', Journal of High Energy Physics, vol. 2023, no. 6, 131. https://doi.org/10.1007/JHEP06(2023)131

APA

Chestnov, V., Frellesvig, H., Gasparotto, F., Mandal, M. K., & Mastrolia, P. (2023). Intersection numbers from higher-order partial differential equations. Journal of High Energy Physics, 2023(6), [131]. https://doi.org/10.1007/JHEP06(2023)131

Vancouver

Chestnov V, Frellesvig H, Gasparotto F, Mandal MK, Mastrolia P. Intersection numbers from higher-order partial differential equations. Journal of High Energy Physics. 2023 Jun;2023(6). 131. https://doi.org/10.1007/JHEP06(2023)131

Author

Chestnov, Vsevolod ; Frellesvig, Hjalte ; Gasparotto, Federico ; Mandal, Manoj K. ; Mastrolia, Pierpaolo. / Intersection numbers from higher-order partial differential equations. In: Journal of High Energy Physics. 2023 ; Vol. 2023, No. 6.

Bibtex

@article{7b4c0fe3b1a24723ac2780bc4f0234ee,
title = "Intersection numbers from higher-order partial differential equations",
abstract = "We propose a new method for the evaluation of intersection numbers for twisted meromorphic n-forms, through Stokes{\textquoteright} 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.",
keywords = "Differential and Algebraic Geometry, Scattering Amplitudes",
author = "Vsevolod Chestnov and Hjalte Frellesvig and Federico Gasparotto and Mandal, {Manoj K.} and Pierpaolo Mastrolia",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2023",
month = jun,
doi = "10.1007/JHEP06(2023)131",
language = "English",
volume = "2023",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "6",

}

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