Capture components of cubic Siegel polynomials (2312.10929v1)

Abstract: Let $\theta$ be an irrational number of bounded type. We prove that all capture components in the parameter space of cubic polynomials $f_a(z)=e^{2\pi i\theta}z+a z^2+z^3$, where $a\in\mathbb{C}$, are Jordan domains.