Classification of Torus Fibrations Over $S^2$ Up to Fibre Sum Stabilisation
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929209245433856 |
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| author | Zhang, Yibo |
| author_facet | Zhang, Yibo |
| contents | We study torus fibrations over the 2-sphere and Hurwitz equivalence of their monodromies. We show that, if two torus fibrations over $S^2$ have the same type of singularities, then their global monodromies are Hurwitz equivalent after performing direct sums with certain torus Lefschetz fibrations. The additional torus Lefschetz fibration is universal when the type of singularities is "simple". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09562 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of Torus Fibrations Over $S^2$ Up to Fibre Sum Stabilisation Zhang, Yibo Geometric Topology Group Theory 57 M 05, 58 K 10 We study torus fibrations over the 2-sphere and Hurwitz equivalence of their monodromies. We show that, if two torus fibrations over $S^2$ have the same type of singularities, then their global monodromies are Hurwitz equivalent after performing direct sums with certain torus Lefschetz fibrations. The additional torus Lefschetz fibration is universal when the type of singularities is "simple". |
| title | Classification of Torus Fibrations Over $S^2$ Up to Fibre Sum Stabilisation |
| topic | Geometric Topology Group Theory 57 M 05, 58 K 10 |
| url | https://arxiv.org/abs/2304.09562 |