Connectedness of a space of branched coverings with a periodic cycle
We prove the connectedness of the following locus: the space of degree- d branched self-coverings of S^{2} with two critical points of order d , one of which is n -periodic. Equivalently, all branched self-coverings of S^{2} with two critical points of order d , one of which is n -periodic, are comb...
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| Veröffentlicht in: | Groups, geometry and dynamics geometry and dynamics, 2024-02, Vol.18 (3), p.1131-1143 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove the connectedness of the following locus: the space of degree- d branched self-coverings of S^{2} with two critical points of order d , one of which is n -periodic. Equivalently, all branched self-coverings of S^{2} with two critical points of order d , one of which is n -periodic, are combinatorially equivalent. |
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| ISSN: | 1661-7207 1661-7215 |
| DOI: | 10.4171/ggd/781 |