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Mirror maps equals SYZ maps for toric Calabi-Yau surfaces

Conan Leung Chinese Univ of HK Siu-Cheong Lau Boston Univ Baosen Wu Tsing Hua Univ

mathscidoc:1608.01049

Bull. LMS, 44, 255-270, 2012
We prove that the mirror map is the Strominger–Yau–Zaslow map for every toric Calabi–Yau surface. As a consequence, one obtains an enumerative meaning of the mirror map. This involves computing genus-0 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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@inproceedings{conan2012mirror,
  title={Mirror maps equals SYZ maps for toric Calabi-Yau surfaces},
  author={Conan Leung, Siu-Cheong Lau, and Baosen Wu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160830135733614636547},
  booktitle={Bull. LMS},
  volume={44},
  pages={255-270},
  year={2012},
}
Conan Leung, Siu-Cheong Lau, and Baosen Wu. Mirror maps equals SYZ maps for toric Calabi-Yau surfaces. 2012. Vol. 44. In Bull. LMS. pp.255-270. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160830135733614636547.
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