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The Inversion Symmetry of the WDVV Equations and Tau Functions
Published 28 Dec 2010 in math.DG and nlin.SI | (1012.5708v2)
Abstract: For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal hierarchies.
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