Dubrovin-Zhang hierarchy for the Hodge integrals

@article{Buryak2013DubrovinZhangHF,
  title={Dubrovin-Zhang hierarchy for the Hodge integrals},
  author={Alexandr Buryak},
  journal={arXiv: Mathematical Physics},
  year={2013}
}
  • A. Buryak
  • Published 26 August 2013
  • Mathematics
  • arXiv: Mathematical Physics
In this paper we prove that the generating series of the Hodge integrals over the moduli space of stable curves is a solution of a certain deformation of the KdV hierarchy. This hierarchy is constructed in the framework of the Dubrovin-Zhang theory of the hierarchies of the topological type. It occurs that our deformation of the KdV hierarchy is closely related to the hierarchy of the Intermediate Long Wave equation. 
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