Twisting cubic rabbits
Dynamical Systems
2022-09-14 v1 Geometric Topology
Abstract
We solve an infinite family of twisted polynomial problems that are cubic generalizations of Hubbard's twisted rabbit problem. We show how the result of twisting by a power of a certain Dehn twist depends on the 9-adic expansion of the power. For the cubic rabbit with three post-critical points, we also give an algorithmic solution to the twisting problem for the full pure mapping class group.
Cite
@article{arxiv.2209.06154,
title = {Twisting cubic rabbits},
author = {Justin Lanier and Rebecca R. Winarski},
journal= {arXiv preprint arXiv:2209.06154},
year = {2022}
}
Comments
22 pages, 9 figures