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"Real doubles" of Hurwitz Frobenius manifolds

Vasilisa Shramchenko
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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 Hurwitzs 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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Vasilisa Shramchenko. 2004-11-13. "Real doubles" of Hurwitz Frobenius manifolds. https://doi.org/10.1007/s00220-005-1321-x

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