"Real doubles" of Hurwitz Frobenius manifolds

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.

44 pages, minor revision

References in corpus (4)

• Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation
• Elliptic Gromov - Witten invariants and the generalized mirror conjecture
• On G-function of Frobenius manifolds related to Hurwitz spaces
• Real-normalized Whitham hierarchies and the WDVV equations

Cited by in corpus (5)

• On some algebraic examples of Frobenius manifolds
• A remark on deformations of Hurwitz Frobenius manifolds
• Deformations of Frobenius structures on Hurwitz spaces
• Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: irregular singularity
• Diagonal invariants and genus-zero Hurwitz Frobenius manifolds