Special Lagrangian Cycles and Calabi-Yau Transitions
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220_2023_4655_ReferencePDF.pdf
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Author(s)
Collins, Tristan C.
Gukov, Sergei
Picard, Sebastien
Yau, Shing-Tung
Date Issued
February 3, 2023
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00220-023-04655-3
