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arXiv · 1012.5708

The Inversion Symmetry of the WDVV Equations and Tau Functions

Si-Qi Liu·Dingdian Xu·Youjin Zhang
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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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Si-Qi Liu, Dingdian Xu, Youjin Zhang. 2013-05-05. The Inversion Symmetry of the WDVV Equations and Tau Functions. https://arxiv.org/abs/1012.5708

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