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Special Lagrangian cycles and Calabi-Yau transitions

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arxiv 2111.10355 v1 pith:WQTEKIXM submitted 2021-11-19 math.DG hep-th

Tristan C. Collins , Sergei Gukov , Sebastien Picard , Shing-Tung Yau This is my paper · ORCID
classification math.DGhep-th
keywords cycleslagrangianspecialahlercalabi-yaucompactnon-kthreefolds
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Beyond Algebraic Superstring Compactification

    hep-th 2025-02 conditional novelty 5.0 of 10

    Calabi-Yau compactifications and mirror symmetry are conjecturally extended to non-algebraic toric spaces using Laurent deformations and the 'intrinsic limit' completion.

  2. Calabi-Yau threefolds across quadratic singularities

    math.DG 2025-01 unverdicted

    This paper is a survey of the geometry of conifold transitions between Calabi-Yau threefolds, focusing on non-Kähler outputs and the structures they carry.

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