Open Gromov-Witten invariants and SYZ under local conifold transitions

Siu-Cheong Lau Boston University

mathscidoc:1702.01012

J. London Math. Soc., 90, (2), 413-435, 2014
For a local non-toric Calabi–Yau manifold which arises as a smoothing of a toric Gorenstein singularity, this paper derives the open Gromov–Witten invariants of a generic fiber of the special Lagrangian fibration constructed by Gross and thereby constructs its Strominger-YauZaslow (SYZ) mirror. Moreover, it proves that the SYZ mirrors and disk potentials vary smoothly under conifold transitions, giving a global picture of SYZ mirror symmetry
SYZ, open GW, conifold transition, mirror symmetry
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@inproceedings{siu-cheong2014open,
  title={Open Gromov-Witten invariants and SYZ under local conifold transitions},
  author={Siu-Cheong Lau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170215234300992797443},
  booktitle={J. London Math. Soc.},
  volume={90},
  number={2},
  pages={413-435},
  year={2014},
}
Siu-Cheong Lau. Open Gromov-Witten invariants and SYZ under local conifold transitions. 2014. Vol. 90. In J. London Math. Soc.. pp.413-435. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170215234300992797443.
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