Mathematics > Differential Geometry
[Submitted on 19 Nov 2021]
Title:Special Lagrangian cycles and Calabi-Yau transitions
View PDFAbstract:We construct special Lagrangian 3-spheres in non-Kähler compact threefolds equipped with the Fu-Li-Yau geometry. These non-Kähler 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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