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arXiv · 1305.5279

Open Gromov-Witten invariants and SYZ under local conifold transitions

Siu-Cheong Lau
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Abstract

For a local Calabi-Yau manifold which is a smoothing of toric Gorenstein singularity, this paper computes the open Gromov-Witten invariants of a generic fiber of the special Lagrangian fibration constructed by Gross and thereby constructs its SYZ mirror. Moreover it derives a relation for the generating function of open Gromov-Witten invariants of the local Calabi-Yau manifold and that of its conifold transition.

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Siu-Cheong Lau. 2013-05-22. Open Gromov-Witten invariants and SYZ under local conifold transitions. https://doi.org/10.1112/jlms%2Fjdu032

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