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Abstract
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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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Keywords
SYZ, mirror symmetry, conifold transition, open
Gromov-Witten invariants
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Mathematical Subject Classification 2010
Primary: 14J33, 53D37
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Milestones
Received: 12 March 2018
Revised: 1 November 2018
Accepted: 1 December 2018
Published: 24 October 2019
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