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Mathematics  2013 

Orbifold GW theory as Hurwitz-Frobenius submanifold

DOI: 10.1016/j.geomphys.2013.12.004

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Abstract:

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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