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The closed topological vertex via the Cremona transform

Jim Bryan·Dagan Karp
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Abstract

We compute the local Gromov-Witten invariants of the "closed vertex", that is, a configuration of three rational curves meeting in a single triple point in a Calabi-Yau threefold. The method is to express the local invariants of the vertex in terms of ordinary Gromov-Witten invariants of a certain blowup of CP^3 and then to compute those invariants via the geometry of the Cremona transformation.

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Jim Bryan, Dagan Karp. 2003-11-13. The closed topological vertex via the Cremona transform. https://arxiv.org/abs/math/0311208

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