KP hierarchy for Hodge integrals
Algebraic Geometry
2008-09-22 v1
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 lambda_g conjecture etc. Among other results we show that a properly arranged generating function for Hodge integrals satisfies the equations of the KP hierarchy.
Cite
@article{arxiv.0809.3263,
title = {KP hierarchy for Hodge integrals},
author = {M. Kazarian},
journal= {arXiv preprint arXiv:0809.3263},
year = {2008}
}
Comments
20 pages, 1 figure