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Some algebraic examples of Frobenius manifolds

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Abstract

Using analytic methods of finite-gap integration, we construct quasihomogeneous algebraic solutions of the WDVV associativity equations and the nonsemisimple Frobenius manifolds associated with them.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 2, pp. 195–206, May, 2007.

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Mironov, A.E., Taimanov, I.A. Some algebraic examples of Frobenius manifolds. Theor Math Phys 151, 604–613 (2007). https://doi.org/10.1007/s11232-007-0047-7

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Keywords

  • WDVV equation
  • Frobenius manifold
  • Darboux-Egorov metric