论文标题

扭曲的立方兔子

Twisting cubic rabbits

论文作者

Lanier, Justin, Winarski, Rebecca R.

论文摘要

我们解决了一个无限的扭曲多项式问题家族,这是哈伯德扭曲兔子问题的立方概括。我们展示了通过某个dehn扭曲的扭曲的结果如何取决于功率的9-添加。对于具有三个临界点的立方兔子,我们还为完整的纯映射类组提供了算法解决方案。

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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