Geodesic
Some algebraic examples of Frobenius manifolds
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 2, pp. 195-206 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. E. Mironov; I. A. Taimanov. Some algebraic examples of Frobenius manifolds. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 2, pp. 195-206. http://geodesic.mathdoc.fr/item/TMF_2007_151_2_a1/

[1] I. M. Krichever, Funkts. analiz i ego prilozh., 31:1 (1997), 32–50 | DOI | MR | Zbl

[2] R. Dijkgraaf, E. Verlinde, H. Verlinde, Nucl. Phys. B, 352 (1991), 59–86 | DOI | MR

[3] S. Barannikov, M. Kontsevich, Int. Math. Res. Notices, 1998, no. 4, 201–215 | DOI | MR | Zbl

[4] V. Shramchenko, Comm. Math. Phys., 256 (2005), 635–680 | DOI | MR | Zbl

[5] B. Dubrovin, “Geometry of 2D topological field theories”, Integrable Systems and Quantum Groups (Montecatini Terme, 1993), Lect. Notes in Math., 1620, Springer, Berlin, 1995, 120–348 | DOI | MR

[6] E. Witten, Nucl. Phys. B, 340 (1990), 281–332 | DOI | MR

[7] B. Dubrovin, Nucl. Phys. B, 379 (1992), 627–689 | DOI | MR

[8] V. E. Zakharov, Duke Math. J., 94 (1998), 103–139 | DOI | MR | Zbl

[9] A. E. Mironov, I. A. Taimanov, Tr. MIAN, 255 (2006), 180–196 | MR

[10] A. Marshakov, A. Mironov, A. Morozov, Phys. Lett. B, 389 (1996), 43–52 | DOI | MR