Small Triangulations of Simply Connected 4-Manifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915130950811648 |
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| author | Spreer, Jonathan Tobin, Lucy |
| author_facet | Spreer, Jonathan Tobin, Lucy |
| contents | We present small triangulations of all connected sums of $\mathbb{CP}^2$ and $S^2 \times S^2$ with the standard piecewise linear structure. Our triangulations have $2β_2+2$ pentachora, where $β_2$ is the second Betti number of the manifold. By a conjecture of the authors and, independently, Burke, these triangulations have the smallest possible number of pentachora for their respective topological types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Small Triangulations of Simply Connected 4-Manifolds Spreer, Jonathan Tobin, Lucy Geometric Topology 57Q15, 57Q05, 57K40 We present small triangulations of all connected sums of $\mathbb{CP}^2$ and $S^2 \times S^2$ with the standard piecewise linear structure. Our triangulations have $2β_2+2$ pentachora, where $β_2$ is the second Betti number of the manifold. By a conjecture of the authors and, independently, Burke, these triangulations have the smallest possible number of pentachora for their respective topological types. |
| title | Small Triangulations of Simply Connected 4-Manifolds |
| topic | Geometric Topology 57Q15, 57Q05, 57K40 |
| url | https://arxiv.org/abs/2501.18933 |