L-spaces, taut foliations and fibred hyperbolic two-bridge links
Abstract
We prove that if M is a rational homology sphere that is Dehn surgery on a fibred hyperbolic two-bridge link, then M is not an L-space if and only if M supports a co-orientable taut foliation.As a corollary we show that if K 0 is obtained by a nontrivial knot K as a result of an operation called two-bridge replacement, then all nonmeridional surgeries on K 0 support co-orientable taut foliations.This operation generalises Whitehead doubling and as a particular case we deduce that all nonmeridional surgeries on Whitehead doubles of a nontrivial knot support co-orientable taut foliations.
Fields of Study & Subjects
Geometric and Algebraic Topology
Botulinum Toxin and Related Neurological Disorders
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Algebraic & Geometric Topology
- Volume
- 26
- Issue
- 3
- Pages
- 1115–1154
- Publication date
- 1 April 2026
- Language
- EN