On the computation of intersection numbers for twisted cocycles

DOI10.1063/5.0054292zbMath1469.81050arXiv2002.01930OpenAlexW3005085649MaRDI QIDQ5009737

Stefan Weinzierl

Publication date: 5 August 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01930

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Feynman diagrams (81T18) (2)-body potential quantum scattering theory (81U05) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Graph representations (geometric and intersection representations, etc.) (05C62)

Related Items (12)

Module intersection and uniform formula for iterative reduction of one-loop integrals ⋮ Landau discriminants ⋮ Reduction to master integrals via intersection numbers and polynomial expansions ⋮ Macaulay matrix for Feynman integrals: linear relations and intersection numbers ⋮ Real time lattice correlation functions from differential equations ⋮ Intersection numbers from higher-order partial differential equations ⋮ Integral reduction with Kira 2.0 and finite field methods ⋮ Feynman integral reduction using Gröbner bases ⋮ On epsilon factorized differential equations for elliptic Feynman integrals ⋮ Baikov representations, intersection theory, and canonical Feynman integrals ⋮ Top-Down Decomposition: A Cut-Based Approach to Integral Reductions ⋮ The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals

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