Multipoint series of Gromov-Witten invariants of CP^1

Abstract

We give explicit formulas for the multipoint series of Gromov-Witten invariants of CP^1. We use the recursions of the Toda hierarchy to calculate these in degree 0, and the Toda equation and the degree 0 formulas to extend the calculation to higher degrees. We also obtain formulas for the Hodge series for the Hodge classes lambda_g and lambda_{g-1}.

10 pages