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arXiv · 2411.15680

Essential tori in 3-manifolds not detected in any characteristic

Grace S. Garden·Benjamin Martin·Stephan Tillmann
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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 $\text{SL}_2(\mathbb{F})$-characters over any algebraically closed field $\mathbb{F}$.

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Grace S. Garden, Benjamin Martin, Stephan Tillmann. 2024-11-24. Essential tori in 3-manifolds not detected in any characteristic. https://arxiv.org/abs/2411.15680

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