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Twisting cubic rabbits

  • Justin Lanier

    University of Chicago, Chicago, US

  • Rebecca R. Winarski

    College of the Holy Cross, Worcester, US
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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 -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 this article

Justin Lanier, Rebecca R. Winarski, Twisting cubic rabbits. Groups Geom. Dyn. (2024), published online first

DOI 10.4171/GGD/794