A table of genus two handlebody-knots with seven crossings

Giovanni Bellettini; Giovanni Paolini; Maurizio Paolini; Yi-Sheng Wang

A table of genus two handlebody-knots with seven crossings

Geometric Topology 2025-11-18 v1

Authors: Giovanni Bellettini , Giovanni Paolini , Maurizio Paolini , Yi-Sheng Wang

Abstract

We enumerate all genus two handlebody-knots with seven crossings, up to mirror image, extending the Ishii-Kishimoto-Moriuchi-Suzuki table.

Keywords

genus two handlebody-knots seven crossings knot theory topological enumeration

Cite

@article{arxiv.2511.12194,
  title  = {A table of genus two handlebody-knots with seven crossings},
  author = {Giovanni Bellettini and Giovanni Paolini and Maurizio Paolini and Yi-Sheng Wang},
  journal= {arXiv preprint arXiv:2511.12194},
  year   = {2025}
}