Collapsing of $ALH^*$-Gravitational Instantons
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866914079801606144 |
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| author | Lin, Yu-Shen Takahashi, Ryosuke |
| author_facet | Lin, Yu-Shen Takahashi, Ryosuke |
| contents | We showed that a sequence of ALH*-gravitational instantons from pairs consisting of a weak del Pezzo surface and a smooth anti-canonical divisor towards a large complex structure limit introduced by Collins, Jacobs and the first author collapsing to a punctured plane with a special Kahler metric, which can be viewed as a non-compact version of the collapsing result of Gross-Wilson. We provide a partial compactification of the moduli space of pointed ALH*-gravitational instantons with respect to the pointed Gromov-Hausdorff topology and locally is a polyhedron complex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_16096 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Collapsing of $ALH^*$-Gravitational Instantons Lin, Yu-Shen Takahashi, Ryosuke Differential Geometry We showed that a sequence of ALH*-gravitational instantons from pairs consisting of a weak del Pezzo surface and a smooth anti-canonical divisor towards a large complex structure limit introduced by Collins, Jacobs and the first author collapsing to a punctured plane with a special Kahler metric, which can be viewed as a non-compact version of the collapsing result of Gross-Wilson. We provide a partial compactification of the moduli space of pointed ALH*-gravitational instantons with respect to the pointed Gromov-Hausdorff topology and locally is a polyhedron complex. |
| title | Collapsing of $ALH^*$-Gravitational Instantons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2305.16096 |