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arxiv: 1310.3589 · v1 · pith:PD6SPO6Bnew · submitted 2013-10-14 · 🧮 math.AG · hep-th

Orbifold GW theory as Hurwitz-Frobenius submanifold

classification 🧮 math.AG hep-th
keywords hurwitz-frobeniustheorymanifoldorbifoldsubmanifoldcoveringscurvefrobenius
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In this paper we study the relation between the Frobenius manifolds of GW theory 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-Frobenius manifold of ramified coverings of the sphere by the genus 1 curve with the ramification profile (2,2,2,2) over infinity.

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