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WDVV Equations, Darboux-Egoroff Metric and the Dressing Method

H. Aratyn·J. F. Gomes·J. W. van de Leur·A. H. Zimerman
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Abstract

Dressing technique is used to construct commuting Lax operators which provide an integrable (canonical) structure behind Witten--Dijkgraaf--Verlinde--Verlinde equations. The commuting flows are related to the isomonodromic flows. Examples of the canonical integrable structure are given in two- and three-dimensional cases. The three-dimensional example is associated with the rational Landau-Ginzburg potentials.

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H. Aratyn, J. F. Gomes, J. W. van de Leur, A. H. Zimerman. 2002-10-21. WDVV Equations, Darboux-Egoroff Metric and the Dressing Method. https://arxiv.org/abs/math-ph/0210038

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