# 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} }

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.

#### 114 Citations

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