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arXiv · 2111.10355

Special Lagrangian cycles and Calabi-Yau transitions

Tristan C. Collins·Sergei Gukov·Sebastien Picard·Shing-Tung Yau
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Abstract

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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Tristan C. Collins, Sergei Gukov, Sebastien Picard, Shing-Tung Yau. 2021-11-19. Special Lagrangian cycles and Calabi-Yau transitions. https://doi.org/10.1007/s00220-023-04655-3

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