# Enumerating the basins of infinity of cubic polynomials

## TL;DR

This paper investigates the complex dynamics of cubic polynomials focusing on their basins of infinity, and systematically classifies conjugacy classes based on combinatorial data.

## Contribution

It introduces a method to enumerate topological conjugacy classes of cubic polynomials with specified combinatorial structures.

## Key findings

- Classification of conjugacy classes achieved
- Enumeration method for cubic polynomial dynamics developed
- Insights into the structure of basins of infinity provided

## Abstract

We study the dynamics of cubic polynomials restricted to their basins of infinity, and we enumerate topological conjugacy classes with given combinatorics.