English

On the fundamental groups of solenoid complements in $\mathbb{S}^3$

Geometric Topology 2023-03-03 v1

Abstract

We show that fundamental groups of the complements of knotted solenoids in S3\mathbb{S}^3 is solely determined by a canonical sequence of knot groups. Moreover it its determined by the embedding up to mirror reflection.

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Cite

@article{arxiv.2303.01442,
  title  = {On the fundamental groups of solenoid complements in $\mathbb{S}^3$},
  author = {Xueming Hui},
  journal= {arXiv preprint arXiv:2303.01442},
  year   = {2023}
}

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15 pages