# Global topology of hyperbolic components: Cantor circle case

@article{Wang2016GlobalTO,
title={Global topology of hyperbolic components: Cantor circle case},
author={Xiaoguang Wang and Yongcheng Yin},
journal={Proceedings of the London Mathematical Society},
year={2016},
volume={115}
}
• Published 30 March 2016
• Mathematics
• Proceedings of the London Mathematical Society
We prove that in the moduli space Md of degree d⩾2 rational maps, any hyperbolic component in the disconnectedness locus and of Cantor circle type is a finite quotient of R4d−4−n×Tn , where n is determined by dynamics. The proof uses some ideas from Riemann surface theory (Abel's Theorem), dynamical system and algebraic topology.
6 Citations
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