Twisted Alexander Polynomials and Fibered Classes in Ribbon Homology Cobordisms
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910194013831168 |
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| author | Sun, Brian |
| author_facet | Sun, Brian |
| contents | Let $Y_-$ and $Y_+$ be two compact 3-manifolds with empty or toroidal boundary. A 4-dimensional ribbon homology cobordism is a homologically trivial cobordism built with 1-handles and 2-handles. In this note, following the work of Friedl and collaborators, we apply twisted Alexander polynomials to show that the fibered classes of $Y_+$ map to those of $Y_-$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20785 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Twisted Alexander Polynomials and Fibered Classes in Ribbon Homology Cobordisms Sun, Brian Geometric Topology 57M Let $Y_-$ and $Y_+$ be two compact 3-manifolds with empty or toroidal boundary. A 4-dimensional ribbon homology cobordism is a homologically trivial cobordism built with 1-handles and 2-handles. In this note, following the work of Friedl and collaborators, we apply twisted Alexander polynomials to show that the fibered classes of $Y_+$ map to those of $Y_-$. |
| title | Twisted Alexander Polynomials and Fibered Classes in Ribbon Homology Cobordisms |
| topic | Geometric Topology 57M |
| url | https://arxiv.org/abs/2604.20785 |