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Mathematics > Differential Geometry

Title: Gromov-Hausdorff continuity of non-Kähler Calabi-Yau conifold transitions

Authors: Benjamin Friedman, Sébastien Picard, Caleb Suan
(Submitted on 18 Apr 2024)
Abstract: We study the geometry of Calabi-Yau conifold transitions. This deformation process is known to possibly connect a K\"ahler threefold to a non-K\"ahler threefold. We use balanced and Hermitian-Yang-Mills metrics to geometrize the conifold transition and show that the whole operation is continuous in the Gromov-Hausdorff topology.
Comments: 46 pages
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Metric Geometry (math.MG)
Cite as: arXiv:2404.11840 [math.DG]
  (or arXiv:2404.11840v1 [math.DG] for this version)

Submission history

From: Sebastien Picard [view email]
[v1] Thu, 18 Apr 2024 01:43:54 GMT (56kb,D)
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