"Real doubles" of Hurwitz Frobenius manifolds
Mathematical Physics
2009-11-10 v4 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0402015,
title = {"Real doubles" of Hurwitz Frobenius manifolds},
author = {Vasilisa Shramchenko},
journal= {arXiv preprint arXiv:math-ph/0402015},
year = {2009}
}
Comments
44 pages, minor revision