• Corpus ID: 233481982

Extending Harvey's Surface Kernel Maps

@inproceedings{Gilman2021ExtendingHS,
  title={Extending Harvey's Surface Kernel Maps},
  author={Jane Gilman},
  year={2021}
}
Let S be a compact Riemann surface and G a group of conformal automorphisms of S with S0 = S/G. S is a finite regular branched cover of S0. If U denotes the unit disc, let Γ and Γ0 be the Fuchsian groups with S = U/Γ and S0 = U/Γ0. There is a group homomorphism of Γ0 ontoG with kernel Γ and this is termed a surface kernel map. Two surface kernel maps are equivalent if they differ by an automorphism of Γ0. In his 1971 paper Harvey showed that when G is a cyclic group, there is a unique simplest… 

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