A cork of the rational surface with the second Betti number 9
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909327388835840 |
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| author | Wakamaki, Yohei |
| author_facet | Wakamaki, Yohei |
| contents | We provide the first explicit example of a cork of $\mathbf{CP}^2 \# 8\overline{\mathbf{CP}^2}$. This result gives the current smallest second Betti number of a standard simply-connected closed $4$-manifold for which an explicit cork has been found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16454 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A cork of the rational surface with the second Betti number 9 Wakamaki, Yohei Geometric Topology 57R55, 57R65 We provide the first explicit example of a cork of $\mathbf{CP}^2 \# 8\overline{\mathbf{CP}^2}$. This result gives the current smallest second Betti number of a standard simply-connected closed $4$-manifold for which an explicit cork has been found. |
| title | A cork of the rational surface with the second Betti number 9 |
| topic | Geometric Topology 57R55, 57R65 |
| url | https://arxiv.org/abs/2307.16454 |