Geometric transitions and SYZ mirror symmetry

Atsushi Kanazawa Harvard University Siu-Cheong Lau Boston University

Differential Geometry mathscidoc:1610.10016

We prove that generalized conifolds and orbifolded conifolds are mirror symmetric under the SYZ program with quantum corrections. Our work mathematically confirms the gaugetheoretic assertion of Aganagic–Karch–Lust–Miemiec, and also provides a supportive evidence to Morrison’s conjecture that geometric transitions are reversed under mirror symmetry.
SYZ, mirror symmetry, open Gromov-Witten, conifold, geometric transition
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@inproceedings{atsushigeometric,
  title={Geometric transitions and SYZ mirror symmetry},
  author={Atsushi Kanazawa, and Siu-Cheong Lau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161004024252187028081},
}
Atsushi Kanazawa, and Siu-Cheong Lau. Geometric transitions and SYZ mirror symmetry. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161004024252187028081.
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