Effective computations of the Atiyah-Bott formula

Abstract

We present an implementation of the Atiyah-Bott residue formula for M 0,m (P n , d). We use this implementation to compute a large number of Gromov-Witten invariants of genus 0, including characteristic numbers of rational curves on general complete intersections. We also compute some characteristic numbers of rational contact curves. Our computations confirm known predictions made by Mirror Symmetry. The code we developed for these computations is publicly available and can be used for other types of computations.