A combinatorial case of the abelian-nonabelian correspondence

Abstract

The abelian-nonabelian correspondence outlined in (Duke Math J 126:101–136, 2005) gives a broad conjectural relationship between (twisted) Gromov-Witten invariants of related GIT quotients. This paper proves a case of the correspondence explicitly relating genus zero m-pointed Gromov-Witten invariants of Grassmannians Gr(2, n) and products of projective space (Formula presented.). Computation of the twisted Gromov-Witten invariants of (Formula presented.) via localization is used.