Geometric transitions and SYZ mirror symmetry

Atsushi Kanazawa Harvard University CMSA Siu-Cheong Lau Boston University

Publications of CMSA of Harvard mathscidoc:1702.38020

We prove that the punctured generalized conifolds and punctured orbifolded conifolds are mirror symmetric under the SYZ program with quantum corrections. This mathematically confirms the gauge-theoretic prediction by Aganagic–Karch–L¨ust–Miemiec, and also provides a supportive evidence to Morrison’s conjecture that geometric transitions are reversed under mirror symmetry.
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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/20170207010551275650220},
}
Atsushi Kanazawa, and Siu-Cheong Lau. Geometric transitions and SYZ mirror symmetry. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207010551275650220.
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