Abstract.
New Frobenius structures on Hurwitz spaces are found. A Hurwitz space is considered as a real manifold; therefore the number of coordinates is twice as large as the number of coordinates on Hurwitz Frobenius manifolds of Dubrovin. Simple branch points of a ramified covering and their complex conjugates play the role of canonical coordinates on the constructed Frobenius manifolds. Corresponding solutions to WDVV equations and G-functions are obtained.
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and elliptic Gromov-Witten invariants. J. Amer. Math. Soc. 10(4), 973–998 (1997)Author information
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Communicated by G.W. Gibbons
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Shramchenko, V. “Real Doubles” of Hurwitz Frobenius Manifolds. Commun. Math. Phys. 256, 635–680 (2005). https://doi.org/10.1007/s00220-005-1321-x
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DOI: https://doi.org/10.1007/s00220-005-1321-x