Essential tori in 3-manifolds not detected in any characteristic
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916493999996928 |
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| author | Garden, Grace S. Martin, Benjamin Tillmann, Stephan |
| author_facet | Garden, Grace S. Martin, Benjamin Tillmann, Stephan |
| contents | Infinite families of 3-dimensional closed graph manifolds and closed Seifert fibered spaces are exhibited, each member of which contains an essential torus not detected by ideal points of the variety of $\text{SL}_2(\mathbb{F})$-characters over any algebraically closed field $\mathbb{F}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15680 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Essential tori in 3-manifolds not detected in any characteristic Garden, Grace S. Martin, Benjamin Tillmann, Stephan Geometric Topology 57M25, 57N10 Infinite families of 3-dimensional closed graph manifolds and closed Seifert fibered spaces are exhibited, each member of which contains an essential torus not detected by ideal points of the variety of $\text{SL}_2(\mathbb{F})$-characters over any algebraically closed field $\mathbb{F}$. |
| title | Essential tori in 3-manifolds not detected in any characteristic |
| topic | Geometric Topology 57M25, 57N10 |
| url | https://arxiv.org/abs/2411.15680 |