Special Lagrangian cycles and Calabi-Yau transitions
2021
We construct special Lagrangian 3-spheres in non-K\"ahler compact threefolds
equipped with the Fu-Li-Yau geometry. These non-K\"ahler geometries emerge from
topological transitions of compact Calabi-Yau threefolds. From this point of
view, a conifold transition exchanges holomorphic 2-cycles for special
Lagrangian 3-cycles.
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