Morrison's conjecture on geometric transitions and mirror symmetry
Morrison's conjecture on geometric transitions and mirror symmetry
Let and be Calabi--Yau manifolds, and suppose they are related by a geometric transition
where is a birational contraction and is a smoothing. Suppose and are the mirrors of and respectively. Morrison's conjecture. There exists a geometric transition
relating and . The conjecture predicts that geometric transitions are reversed under mirror symmetry; the paper provides supportive evidence through SYZ mirror symmetry for punctured generalized and orbifolded conifolds.
Sources & referencesView supporting material
Primary source
Atsushi Kanazawa and Siu-Cheong Lau, “Geometric transitions and SYZ mirror symmetry”, arXiv:1503.03829 (2018).
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