Constructing Lefschetz Fibrations with Arbitrary Slope
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917384632139776 |
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| author | Altunoz, Tulin Cengel, Adalet |
| author_facet | Altunoz, Tulin Cengel, Adalet |
| contents | We prove that for any rational number $r\in (2,8)$, there exists a genus-$g$ Lefschetz fibration over the two-sphere with large enough genus-$g$ having the slope is $r$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03714 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructing Lefschetz Fibrations with Arbitrary Slope Altunoz, Tulin Cengel, Adalet Geometric Topology We prove that for any rational number $r\in (2,8)$, there exists a genus-$g$ Lefschetz fibration over the two-sphere with large enough genus-$g$ having the slope is $r$. |
| title | Constructing Lefschetz Fibrations with Arbitrary Slope |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2512.03714 |