Torus decomposition and foliation detected slopes

IF 1.6 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2026-07-13 DOI:10.1112/topo.70088

Qingfeng Lyu

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引用次数: 0

Abstract

Let $M_{1}$ and $M_{2}$ be knot manifolds and $M = M_{1} \cup_{f} M_{2}$ be the closed manifold obtained by gluing up $M_{1}$ and $M_{2}$ via $f : \partial M_{1} \overset{≅}{\to} \partial M_{2}$ . 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 in Boyer, McA Gordon, and Hu [Adv. Math. 495 (2026), 110956].

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环面分解和叶理作用检测到斜坡

设m1 $M_1$和m2 $M_2$是结流形M = m1∪fm2 $M=M_1\cup _f M_2$为m1 $M_1$与m2 $M_2$经f粘合而成的封闭流形：∂m1→≠∂m2 $f:\partial M_1\xrightarrow {\cong } \partial M_2$。我们证明如果M $M$允许共取向的紧叶理，然后f $f$识别了一些ctf检测到的m1 $M_1$和m1 $M_2$的有理边界斜率，证实了Boyer， McA Gordon, and Hu [Adv. Math. 495(2026)， 110956]提出的猜想。

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.