Torus decomposition and foliation detected slopes

Qingfeng Lyu

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arXiv · 2505.03928

Torus decomposition and foliation detected slopes

Qingfeng Lyu

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Abstract

Let $M_1$ and $M_2$ be knot manifolds and $M=M_1\cup_f M_2$ be the closed 3-manifold obtained by gluing up $M_1$ and $M_2$ via $f:\partial M_1\xrightarrow{\cong} \partial M_2$. We show that if $M$ admits a co-oriented taut foliation, then $f$ identifies some CTF-detected rational boundary slopes of $M_1$ and $M_2$, affirming a conjecture proposed by Boyer, Gordon and Hu.

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BibTeX RIS

Qingfeng Lyu. 2025-05-06. Torus decomposition and foliation detected slopes. https://arxiv.org/abs/2505.03928

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