Numerical irreducibility criteria for handlebody links

2020/02/14 by Bellettini, Giovanni, Paolini, Maurizio, Wang, Yi-Sheng · 1 citation
#57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2002.05974

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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• A table of genus two handlebody-knots with seven crossings

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