WDVV Equations, Darboux-Egoroff Metric and the Dressing Method

Details WDVV Equations, Darboux-Egoroff Metric and the Dressing Method WDVV Equations, Darboux-Egoroff Metric and the Dressing Method

2002-10-21

arxiv.org/abs/math-ph/0210038v1

Physics

Mathematical Physics

Contribution to the conference "Workshop on Integrable Theories, Solitons and Duality", Unesp2002, LaTeX file w. JHEP style fi

Scientific paper

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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