Connectedness of a space of branched coverings with a periodic cycle

DOI10.4171/GGD/781MaRDI QIDQ6594559

Laurent Bartholdi

Publication date: 28 August 2024

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

branched coveringscritically finite mapsparameter spaces of rational maps

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Iterated monodromy groups of quadratic polynomials. I.
• The topology of spaces of rational functions
• On Riemann surfaces with given branch points.
• A disconnected deformation space of rational maps
• L'équivalence d'une fonction différentiable et d'un polynôme
• Critical portraits for postcritically finite polynomials
• Geometry and Dynamics of Quadratic Rational Maps
• Mapping class groups and their relationship to braid groups
• On Deformation Spaces of Quadratic Rational Functions
• Irreducibility of periodic curves in cubic polynomial moduli space

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