Shows CTF-detected rational boundary slopes in knot manifolds, suggesting theoretical implications.
Let and be knot manifolds and be the closed manifold obtained by gluing up and via . We show that if admits a co‐oriented taut foliation, then identifies some CTF‐detected rational boundary slopes of and , affirming a conjecture proposed in Boyer, McA Gordon, and Hu [Adv. Math. 495 (2026), 110956].
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Qingfeng Lyu (2026) studied this question.
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