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arXiv · 1008.4753

Mirror maps equal SYZ maps for toric Calabi-Yau surfaces

Siu-Cheong Lau·Naichung Conan Leung·Baosen Wu
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Abstract

We prove that the mirror map is the SYZ map for every toric Calabi-Yau surface. As a consequence one obtains an enumerative meaning of the mirror map. This involves computing genus-zero open Gromov-Witten invariants, which is done by relating them with closed Gromov-Witten invariants via compactification and using an earlier computation by Bryan-Leung.

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Siu-Cheong Lau, Naichung Conan Leung, Baosen Wu. 2012-06-26. Mirror maps equal SYZ maps for toric Calabi-Yau surfaces. https://doi.org/10.1112/blms%2Fbdr090

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