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arXiv · 2209.06154

Twisting cubic rabbits

Justin Lanier·Rebecca R. Winarski
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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.

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Justin Lanier, Rebecca R. Winarski. 2022-09-13. Twisting cubic rabbits. https://arxiv.org/abs/2209.06154

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