Abstract
We propose a new geometric interpretation of the solutions of the Witten–Dijkgraaf–Verlinde–Verlinde equations formerly found by A. P. Veselov.
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References
A. P. Veselov, Phys. Lett. A, 261, 267–302 (1999).
M. V. Feigin and A. P. Veselov, “On the geometry of V-system,” in: Geometry, Topology, and Mathematical Physics: S. P. Novikov’s Seminar 2006–2007 (AMS Transl. Ser. 2, Vol. 224, V. M. Buchstaber and I. M. Krichever, eds.), Amer. Math. Soc., Providence, R. I. (2008), pp. 111–123.
F. Magri, SIGMA, 8, 076 (2012); arXiv:1210.5320v1 [math.SG] (2012).
S. P. Tsarev, “Integrability of equations of hydrodynamic type from the end of the 19th to the end of the 20th century,” in: Integrability: The Seiberg–Witten and Whitham Equations (Edinburgh, Scotland, UK, 14–19 September 1998, H. W. Braden and I. M. Krichever, eds.), Gordon and Breach, Amsterdam (2000), pp. 251–265.
B. Dubrovin, “Geometry of 2D topological field theory,” in: Integrable Systems and Quantum Groups (Lect. Notes Math., Vol. 1620, M. Francaviglia and S. Greco, eds.), Springer, Berlin (1996), pp. 120–348.
Y. Manin, Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces (AMA Colloq. Publ., Vol. 47), Amer. Math. Soc., Providence, R. I. (1999).
C. Hertling, Frobenius Manifolds and Moduli Spaces for Singularities (Cambridge Tracts Math., Vol. 151), Cambridge Univ. Press, Cambridge (2002).
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 189, No. 1, pp. 101–114, October, 2016.
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Magri, F. Haantjes manifolds and Veselov systems. Theor Math Phys 189, 1486–1499 (2016). https://doi.org/10.1134/S0040577916100081
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DOI: https://doi.org/10.1134/S0040577916100081