# Representativity and waist of cable knots

## TL;DR

This paper investigates the properties of cable knots by analyzing incompressible surfaces in their exteriors to compute key invariants like representativity and waist, enhancing understanding of their topological structure.

## Contribution

It introduces methods to compute the representativity and waist of cable knots using incompressible surface analysis, providing new insights into their topology.

## Key findings

- Computed representativity and waist for most cable knots.
- Established relationships between incompressible surfaces and knot invariants.
- Enhanced understanding of cable knot topology.

## Abstract

We study the incompressible surfaces in the exterior of a cable knot and use this to compute the representativity and waist of most cable knots.