A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929616752476160 |
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| author | Yan, Dashen |
| author_facet | Yan, Dashen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds Yan, Dashen Differential Geometry 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. |
| title | A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.03742 |