Torus decomposition and foliation detected slopes
Abstract
Abstract 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].
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of Topology
- Volume
- 19
- Issue
- 3
- Publication date
- 13 July 2026
- Language
- EN