Orientation double covers of non-orientable Lefschetz fibrations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914107349794816 |
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| author | Yoshikawa, Tomoya |
| author_facet | Yoshikawa, Tomoya |
| contents | In this paper, we prove that the composition of the standard orientation double covering map and a non-orientable Lefschetz fibration is an achiral Lefschetz fibration and specify a monodromy factorization of this composition. As an application of these results, we also give three transformations with respect to monodromy factorizations of non-orientable Lefschetz fibrations which do not change their isomorphism classes via the similar result to orientable Lefschetz fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orientation double covers of non-orientable Lefschetz fibrations Yoshikawa, Tomoya Geometric Topology In this paper, we prove that the composition of the standard orientation double covering map and a non-orientable Lefschetz fibration is an achiral Lefschetz fibration and specify a monodromy factorization of this composition. As an application of these results, we also give three transformations with respect to monodromy factorizations of non-orientable Lefschetz fibrations which do not change their isomorphism classes via the similar result to orientable Lefschetz fibrations. |
| title | Orientation double covers of non-orientable Lefschetz fibrations |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2509.06624 |