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Jan 13, 2021 at 19:16 comment added nandi Thanks for the answer and the reference.
Jan 13, 2021 at 16:13 comment added Lasse Rempe I believe that they mean that the underlying space for the orbifold is the Riemann sphere. The charts near most points are just the usual charts, except near the two leaves mentioned, where you have a degree 3 resp. 2 branched cover (i.e., z^3 or z^2 near the origin). A good source for one-complex dimensional orbifolds is the corresponding chapter in Milnor's book on one-dimensional complex dynamics.
Jan 13, 2021 at 0:34 comment added LSpice I have edited in that information.
Jan 13, 2021 at 0:34 history edited LSpice CC BY-SA 4.0
Edited in details from https://mathoverflow.net/questions/381065/clarification-about-the-process-of-naturally-endowing-a-space-with-riemann-orbif#comment968302_381065
Jan 13, 2021 at 0:15 comment added nandi Classification of invariant Fatou components for dissipative Henon maps, GAFA, (first geometric proof in the Appendix), link: math.stonybrook.edu/preprints/ims12-07.pdf
Jan 12, 2021 at 23:17 comment added LSpice What is the paper?
Jan 12, 2021 at 23:09 history edited nandi
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Jan 12, 2021 at 23:04 review First posts
Jan 13, 2021 at 2:37
Jan 12, 2021 at 23:00 history asked nandi CC BY-SA 4.0