Numerical irreducibility criteria for handlebody links
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
TL;DR
This paper introduces numerical criteria to determine the irreducibility of handlebody links, offering an effective method that successfully identifies all handlebody knots in certain tables and most links in others.
Contribution
It presents new numerical criteria for handlebody link irreducibility, enabling practical and accurate identification of irreducible handlebody links.
Findings
Successfully recognizes all handlebody knots in the Ishii-Kishimoto-Moriuchi-Suzuki table.
Identifies most handlebody links in the Bellettini-Paolini-Paolini-Wang table.
Provides an effective and easy-to-implement method for irreducibility determination.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology