Multipoint series of Gromov-Witten invariants of CP^1

Details Multipoint series of Gromov-Witten invariants of CP^1 Multipoint series of Gromov-Witten invariants of CP^1

2002-07-12

arxiv.org/abs/math/0207106v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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}.

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