Essential tori in 3-manifolds not detected in any characteristic

Grace S. Garden; Benjamin Martin; Stephan Tillmann

doi:10.48550/arXiv.2411.15680

Essential tori in 3-manifolds not detected in any characteristic

Grace S. Garden
, Benjamin Martin
, Stephan Tillmann

Mathematical Science

University of Sydney

Research output: Working paper › Preprint

Abstract

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 $\mathbb{F}$.

Original language	English
Publisher	ArXiv
Number of pages	23
DOIs	https://doi.org/10.48550/arXiv.2411.15680
Publication status	Published - 24 Nov 2024

Keywords

math.GT
57M25, 57N10

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10.48550/arXiv.2411.15680Licence: Other

2411.15680v1Submitted manuscript, 3.62 MB

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abstract = "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 \$\textbackslash{}text\{SL\}\_2(\textbackslash{}mathbb\{F\})\$-characters over any algebraically closed field \$\textbackslash{}mathbb\{F\}\$.",

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AU - Martin, Benjamin

AU - Tillmann, Stephan

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AB - 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 $\mathbb{F}$.

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M3 - Preprint

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Essential tori in 3-manifolds not detected in any characteristic

Abstract

Keywords

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