Communications in Mathematical Physics

, Volume 256, Issue 3, pp 635–680 | Cite as

“Real Doubles” of Hurwitz Frobenius Manifolds

  • Vasilisa ShramchenkoEmail author


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.


Neural Network Manifold Statistical Physic Complex System Nonlinear Dynamics 
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© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsConcordia UniversityMontrealCanada

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