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In this paper we study the relation between the Frobenius manifolds of GWtheory and Hurwitz-Frobenius manifold. We prove that orbifold GW theory of\PP^1(2,2,2,2) is isomorphic to the submanifold in the Hurwitz-Frobeniusmanifold of ramified coverings of the sphere by the genus 1 curve with theramification profile (2,2,2,2) over infinity.

Orbifold GW theory as Hurwitz-Frobenius submanifold