KP hierarchy for Hodge integrals

@article{Kazarian2008KPHF,
  title={KP hierarchy for Hodge integrals},
  author={M. Kazarian},
  journal={Advances in Mathematics},
  year={2008},
  volume={221},
  pages={1-21}
}
  • M. Kazarian
  • Published 2008
  • Mathematics
  • Advances in Mathematics
Abstract Starting from the ELSV formula, we derive a number of new equations on the generating functions for Hodge integrals over the moduli space of complex curves. This gives a new simple and uniform treatment of certain known results on Hodge integrals like Witten's conjecture, Virasoro constrains, Faber's λ g -conjecture, etc. Among other results we show that a properly arranged generating function for Hodge integrals satisfies the equations of the KP hierarchy. 
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