Hodge Integrals and Integrable Hierarchies
Algebraic Geometry
2007-05-23 v1
Abstract
We show that the generating series of some Hodge integrals involving one or two partitions are tau-functions of the KP hierarchy or the 2-Toda hierarchy respectively. We also formulate a conjecture on the connection between relative invariants and integrable hierarchies. The conjecture is verified in some examples.
Cite
@article{arxiv.math/0310408,
title = {Hodge Integrals and Integrable Hierarchies},
author = {Jian Zhou},
journal= {arXiv preprint arXiv:math/0310408},
year = {2007}
}