Abstract
We compute the local Gromov-Witten invariants of the “closed vertex”, that is, a configuration of three P 1 \mathbb {P}^{1} ’s 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 P 3 \mathbb {P}^{3} and then to compute those invariants via the geometry of the Cremona transformation.
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