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Orbifold GW theory as Hurwitz-Frobenius submanifold

Algebraic Geometry 2015-06-17 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1310.3589,
  title  = {Orbifold GW theory as Hurwitz-Frobenius submanifold},
  author = {Alexey Basalaev},
  journal= {arXiv preprint arXiv:1310.3589},
  year   = {2015}
}

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18 pages