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.
From: Qingfeng Lyu [view email]
[v1]
Tue, 6 May 2025 19:08:05 UTC (32 KB)
[v2]
Thu, 25 Jun 2026 09:56:48 UTC (30 KB)
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