Kanazawa, AtsushiLau, Siu-Cheong2019-12-182019-12-182019-10-24Atsushi 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.2019.301.4890030-8730https://hdl.handle.net/2144/39006We 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.Pure mathematicsMathematicsSYZMirror symmetryConifold transitionOpen Gromov-Witten invariantsArticle10.2140/pjm.2019.301.489416009