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

Mathematics – Algebraic Geometry

Scientific paper

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39 pages, minor revisions, to appear in Transactions of the American Mathematical Society

Scientific paper

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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