Feynman integrals and iterated integrals on moduli spaces of curves of genus zero

Abstract

This paper describes algorithms for the exact symbolic computation of period integrals on moduli spaces ${\mathcal{M}}_{0,n}$ of curves of genus $0$ with $n$ ordered marked points, and applications to the computation of Feynman integrals.

33 pages; minor corrections, references and an example added; version to be published