Global topology of hyperbolic components: Cantor circle case

  title={Global topology of hyperbolic components: Cantor circle case},
  author={Xiaoguang Wang and Yongcheng Yin},
  journal={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. 
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