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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2007 Volume 151, Number 2, Pages 195–206 (Mi tmf6039)
This article is cited in 7 papers

Some algebraic examples of Frobenius manifolds

A. E. Mironov, I. A. Taimanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

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.

Keywords: WDVV equation, Frobenius manifold, Darboux–Egorov metric.

Received: 13.10.2006

DOI: 10.4213/tmf6039


 English version: Theoretical and Mathematical Physics, 2007, 151:2, 604–613

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© Steklov Math. Inst. of RAS, 2025