MPL—A program for computations with iterated integrals on moduli spaces of curves of genus zero

Published: 14 March 2019| Version 1 | DOI: 10.17632/f88kw6wzfk.1
Contributor:
Christian Bogner

Description

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract We introduce the Maple program MPL for computations with multiple polylogarithms. The program is based on homotopy invariant iterated integrals on moduli spaces M 0 , n of curves of genus 0 with n ordered marked points. It includes the symbol map and procedures for the analytic computation of period integrals on M 0 , n . It supports the automated computation of a certain class of Feynman integrals. Title of program: MPL Catalogue Id: AFAE_v1_0 Nature of problem The program serves for computations with a class of iterated integrals, defined on moduli spaces of curves of genus zero. It allows for the automated computation of period integrals of these spaces. Furthermore, based on these iterated integrals, it supports the automated, analytic computation of a certain class of Feynman integrals of perturbative quantum field theory. Versions of this program held in the CPC repository in Mendeley Data AFAE_v1_0; MPL; 10.1016/j.cpc.2016.02.033

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Computational Physics, Computer Algebra System, Computational Method

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