Geometric transitions and SYZ mirror symmetry
arXiv:1503.03829 · doi:10.2140/pjm.2019.301.489
Abstract
We prove that the punctured generalized conifolds and punctured orbifolded conifolds are mirror symmetric under the SYZ program with quantum corrections. This mathematically confirms the gauge-theoretic prediction by Aganagic-Karch-Lüst-Miemiec, and also provides a supportive evidence to Morrison's conjecture that geometric transitions are reversed under mirror symmetry.
v3: one compact example added. 25 pages, 12 figures
References in corpus (5)
- Hyperconifold Transitions, Mirror Symmetry, and String Theory
- Open Gromov-Witten invariants and SYZ under local conifold transitions
- Gross fibrations, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau orbifolds
- A categorification of U_T sl(1,1) and its tensor product representations
- Conifold transitions via affine geometry and mirror symmetry