Integrable structures of dispersionless systems and differential geometry
arXiv:1609.08969 · doi:10.1134/S0040577917050105
Abstract
We develop the theory of Whitham type hierarchies integrable by hydrodynamic reductions as a theory of certain differential-geometric objects. As an application we construct Gibbons-Tsarev systems associated to moduli space of algebraic curves of arbitrary genus and prove that the universal Whitham hierarchy is integrable by hydrodynamic reductions.
23 pages, Latex, overlapped with arXiv:1505.07779 [math.AG] but different emphasis is given here: this paper is designed for Integrable systems community