Hodge integrals and Gromov-Witten theory

  title={Hodge integrals and Gromov-Witten theory},
  author={Carel Faber and Rahul Pandharipande},
  journal={Inventiones mathematicae},
Integrals of the Chern classes of the Hodge bundle in Gromov-Witten theory are studied. We find a universal system of differential equations which determines the generating function of these integrals from the standard descendent potential (for any target X). We use virtual localization and classical degeneracy calculations to find trigonometric closed form solutions for special Hodge integrals over the moduli space of pointed curves. These formulas are applied to two computations in Gromov… 

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