On the fiberedness of surgery 3-manifolds

Yi Ni; Zhongzi Wang

On the fiberedness of surgery 3-manifolds

Geometric Topology 2026-06-28 v1

Authors: Yi Ni , Zhongzi Wang

Abstract

Let $M$ be a closed orientable 3-manifold and $k$ be a knot in $M$ . Then the Dehn surgery of $M$ along $k$ with slope $\alpha$ is not surface fibered for all but a sparse set of slopes.

Keywords

Dehn surgery fibered 3-manifolds surface bundles knots slopes

Cite

@article{arxiv.2606.29268,
  title  = {On the fiberedness of surgery 3-manifolds},
  author = {Yi Ni and Zhongzi Wang},
  journal= {arXiv preprint arXiv:2606.29268},
  year   = {2026}
}

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11 pages