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Multipoint series of Gromov-Witten invariants of CP^1

Algebraic Geometry 2007-05-23 v1

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}.

Keywords

Cite

@article{arxiv.math/0207106,
  title  = {Multipoint series of Gromov-Witten invariants of CP^1},
  author = {Ezra Getzler and Andrei Okounkov and Rahul Pandharipande},
  journal= {arXiv preprint arXiv:math/0207106},
  year   = {2007}
}

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10 pages