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arXiv · 2412.03742

A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds

Dashen Yan
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Abstract

We carry out a gluing construction for collapsing warped-QAC (quasi-asymptotically-conical) Calabi-Yau manifolds in $\CC^{n+2}, n\geq 2$. This gluing theorem verifies a conjecture by Yang Li in \cite{li2019gluing} on the behavior of the warped QAC Calabi-Yau metrics on affine quadrics when two singular fibers of a holomorphic fibration go apart. We will also discuss a bubble tree structure for those collapsing warped-QAC Calabi-Yau manifolds.

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Dashen Yan. 2024-12-04. A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds. https://arxiv.org/abs/2412.03742

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