Geodesic
Connectedness of a space of branched coverings with a periodic cycle
Laurent Bartholdi1 orcid
1Universität des Saarlandes, Saarbrücken, Germany
Groups, geometry, and dynamics, Tome 18 (2024) no. 3, pp. 1131-1143

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DOI

We prove the connectedness of the following locus: the space of degree-d branched self-coverings of S2 with two critical points of order d, one of which is n-periodic. Equivalently, all branched self-coverings of S2 with two critical points of order d, one of which is n-periodic, are combinatorially equivalent.
DOI : 10.4171/ggd/781
Classification : 20F36, 37F20, 57K20
Mots-clés : branched coverings, parameter spaces of rational maps, critically finite maps

Laurent Bartholdi  1

1 Universität des Saarlandes, Saarbrücken, Germany 
Laurent Bartholdi. Connectedness of a space of branched coverings with a periodic cycle. Groups, geometry, and dynamics, Tome 18 (2024) no. 3, pp. 1131-1143. doi: 10.4171/ggd/781
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     title = {Connectedness of a space of branched coverings with a periodic cycle},
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     year = {2024},
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     number = {3},
     doi = {10.4171/ggd/781},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/781/}
}
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