Geometric transitions and SYZ mirror symmetry

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Date Issued
2019-10-24
Publisher Version
10.2140/pjm.2019.301.489
Author(s)
Kanazawa, Atushi
Lau, Siu-Cheong
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Permanent Link
https://hdl.handle.net/2144/39006
Version
Accepted manuscript
Citation (published version)
Atsushi Kanazawa & Siu-Cheong Lau. 2019. "Geometric transitions and SYZ mirror symmetry." Pacific Journal of Mathematics, Vol. 301, No, 2, pp. 489-517. https://doi.org/10.2140/pjm.2019.301.489
Abstract
We prove that generalized conifolds and orbifolded conifolds are mirror symmetric under the SYZ program with quantum corrections. Our work mathematically confirms the gauge-theoretic assertion of Aganagic–Karch–Lüst–Miemiec, and also provides a supportive evidence to Morrison’s conjecture that geometric transitions are reversed under mirror symmetry.
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