MPL - a program for computations with iterated integrals on moduli spaces of curves of genus zero

Abstract

We introduce the computer program MPL for computations with homotopy invariant iterated integrals on moduli spaces ${\mathcal{M}}_{0,n}$ of curves of genus 0 with $n$ ordered marked points. The program is an implementation of the algorithms presented in [13], based on Maple. It includes the symbol map and procedures for the analytic computation of period integrals on ${\mathcal{M}}_{0,n}.$ It supports the automated computation of a certain class of Feynman integrals.

Comments: 35 pages