Work

Connectedness of a space of branched coverings with a periodic cycle

Year: 2024

Type: article

Abstract: 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.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/781

Author: Laurent Bartholdi

Institution: Saarland University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Division of Mathematical Sciences, HORIZON EUROPE European Research Council

Awards: G202495085, Automata, Dynamics and Actions, Mathematical Sciences Research Institute (MSRI)