L-space intervals for Graph Manifolds and Cables

Sarah Dean Rasmussen

doi:10.1112/s0010437x16008319

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arXiv · 1511.04413

L-space intervals for Graph Manifolds and Cables

Sarah Dean Rasmussen

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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.

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BibTeX RIS

Sarah Dean Rasmussen. 2015-11-13. L-space intervals for Graph Manifolds and Cables. https://doi.org/10.1112/s0010437x16008319

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