Gromov–Hausdorff continuity of non-Kähler Calabi–Yau conifold transitions

Compositio Mathematica 2026 Open access

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Authors: Benjamin M. Friedman, Sébastien Picard, Caleb Suan
DOI: 10.1017/s0010437x26103042
Cited by: 0
References: 68

Abstract

Abstract We study the geometry of Calabi–Yau conifold transitions. This deformation process is known to possibly connect a Kähler threefold to a non-Kähler 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.

Fields of Study & Subjects

Geometry and complex manifolds Advanced Topics in Algebra Advanced Algebra and Geometry

Publication details

Journal / source
Compositio Mathematica
Publisher
Cambridge University Press (CUP)
Volume
162
Issue
2
Pages
327–367
Publication date
1 February 2026
Language
EN