On Symmetries of the WDVV Equations - Mathematics > Differential GeometryReport as inadecuate




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Abstract: For two solutions of the WDVV equations that are related by two types ofsymmetries of the equations given by Dubrovin, we show that the associatedprincipal hierarchies of integrable systems are related by certain reciprocaltransformation, and the tau functions of the hierarchies are either identicalor related by a Legendre transformation. We also consider relationships betweenthe Virasoro constraints and topological deformations of the principalhierarchies.



Author: Dingdian Xu, Youjin Zhang

Source: https://arxiv.org/







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