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    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
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    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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    • CAS: Mathematics & Statistics: Scholarly Papers [263]
    • BU Open Access Articles [3664]


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