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On some algebraic examples of Frobenius manifolds

Mathematical Physics 2009-11-11 v1 Differential Geometry math.MP

Abstract

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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Cite

@article{arxiv.math-ph/0609033,
  title  = {On some algebraic examples of Frobenius manifolds},
  author = {A. E. Mironov and I. A. Taimanov},
  journal= {arXiv preprint arXiv:math-ph/0609033},
  year   = {2009}
}

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14 pages