L-space intervals for Graph Manifolds and Cables

Abstract

We present a graph manifold analog of the Jankins-Neumann classification of Seifert fibered spaces over $S^2$ admitting taut foliations, providing a finite recursive formula to compute the L-space Dehn-filling interval for any graph manifold with torus boundary. As an application of a generalization of this result to Floer simple manifolds, we compute the L-space interval for any cable of a Floer simple knot complement in a closed three-manifold in terms of the original L-space interval, recovering a result of Hedden and Hom as a special case.

45 pages, typos corrected, to appear in Compositio Mathematica

References in corpus (4)

• Floer Simple Manifolds and L-Space Intervals
• Approximating $C^0$-foliations by contact structures
• On knot Floer homology and cabling II
• A calculus for bordered Floer homology

Cited by in corpus (8)

• L-spaces, taut foliations, and graph manifolds
• Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds
• A calculus for bordered Floer homology
• Thin links and Conway spheres
• L-space surgeries on satellites by algebraic links
• L-spaces, taut foliations and the Whitehead link
• L-space surgeries on 2-component L-space links
• Order-detection, representation-detection, and applications to cable knots