English

The groups of branched twist-spun knots

Geometric Topology 2023-05-19 v3

Abstract

We characterize the groups of branched twist spins of classical knots in terms of 3-manifold groups, and also give a purely algebraic, conjectural characterization in terms of PD3PD_3-groups. We show also that each group is the group of at most finitely many branched twist spins.

Keywords

Cite

@article{arxiv.2305.00443,
  title  = {The groups of branched twist-spun knots},
  author = {Jonathan A. Hillman},
  journal= {arXiv preprint arXiv:2305.00443},
  year   = {2023}
}

Comments

v2: Introduction rewritten, new Theorem 8 and Corollary inserted. v3: New Theorem 10 and Corollary inserted