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arxiv: 1109.5995 · v3 · submitted 2011-09-27 · 🧮 math.AG · math-ph· math.MP

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Localization and Gluing of Orbifold Amplitudes: The Gromov-Witten Orbifold Vertex

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classification 🧮 math.AG math-phmath.MP
keywords orbifoldformalismgluinginvariantsvertexabelianalgorithmamplitudes
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We define a formalism for computing open orbifold GW invariants of [C^3/G] where G is any finite abelian group. We prove that this formalism and a suitable gluing algorithm can be used to compute GW invariants in all genera of any toric CY orbifold of dimension 3. We conjecture a correspondence with the DT orbifold vertex of Bryan-Cadman-Young.

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