Special Lagrangian Cycles and Calabi-Yau Transitions

Author(s)
Collins, Tristan C.; Gukov, Sergei; Picard, Sebastien; Yau, Shing-Tung
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Abstract
Abstract 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.
Date issued
2023-02-03
URI
https://hdl.handle.net/1721.1/150933
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer Berlin Heidelberg
Citation
Collins, Tristan C., Gukov, Sergei, Picard, Sebastien and Yau, Shing-Tung. 2023. "Special Lagrangian Cycles and Calabi-Yau Transitions."
Version: Author's final manuscript
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