KP hierarchy for Hodge integrals

@article{Kazarian2008KPHF,
title={KP hierarchy for Hodge integrals},
author={M. Kazarian},
year={2008},
volume={221},
pages={1-21}
}
• M. Kazarian
• Published 2008
• 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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