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On some algebraic examples of Frobenius manifolds

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arxiv math-ph/0609033 v1 pith:JFBBPTCN submitted 2006-09-12 math-ph math.DGmath.MP

A.E. Mironov , I.A. Taimanov This is my paper · ORCID
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keywords algebraicfrobeniusmanifoldssolutionssomeanalyticalassociativityconstruct
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We construct some explicit quasihomogeneous algebraic solutions to the associativity (WDVV) equations by using analytical methods of the finite gap integration theory. These solutions are expanded in the uniform way to non-semisimple Frobenius manifolds.

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  1. Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies

    math-ph 2024-11 conditional novelty 6.0 of 10

    Legendre-type transformations of generalized Frobenius manifolds induce linear reciprocal transformations between their Legendre-extended integrable hierarchies and between their topological deformations.

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