English

Numerical irreducibility criteria for handlebody links

Geometric Topology 2020-02-17 v1

Abstract

In this paper we define a set of numerical criteria for a handlebody link to be irreducible. It provides an effective, easy-to-implement method to determine the irreducibility of handlebody links; particularly, it recognizes the irreducibility of all handlebody knots in the Ishii-Kishimoto-Moriuchi-Suzuki knot table and most handlebody links in the Bellettini-Paolini-Paolini-Wang link table.

Cite

@article{arxiv.2002.05974,
  title  = {Numerical irreducibility criteria for handlebody links},
  author = {Giovanni Bellettini and Maurizio Paolini and Yi-Sheng Wang},
  journal= {arXiv preprint arXiv:2002.05974},
  year   = {2020}
}

Comments

13 pages, 3 figures

R2 v1 2026-06-23T13:41:49.899Z