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arXiv · 1405.3863

Gross-Siebert's slab functions and open GW invariants for toric Calabi-Yau manifolds

Siu-Cheong Lau
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Abstract

This paper derives an equality between the slab functions in Gross-Siebert program and generating functions of open Gromov-Witten invariants for toric Calabi-Yau manifolds, and thereby confirms a conjecture of Gross-Siebert on symplectic enumerative meaning of slab functions. The proof is based on the open mirror theorem of Chan-Cho-Lau-Tseng \cite{CCLT13}. It shows an instance of correspondence between tropical and symplectic geometry in the open sector.

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Siu-Cheong Lau. 2014-05-15. Gross-Siebert's slab functions and open GW invariants for toric Calabi-Yau manifolds. https://arxiv.org/abs/1405.3863

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