A cellular structure of the space of branched coverings for the two-dimensional sphere

DOI10.1090/spmj/1675zbMath1481.57024arXiv2002.12402OpenAlexW3198153388MaRDI QIDQ5155639

Stepan Yu. Orevkov, Victor Zvonilov

Publication date: 8 October 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12402

zbMATH Keywords

compactificationbranched coveringHurwitz spacefundamental groupcellular decompositionreal algebraic varietyisomorphism classtrigonal curve\(CW\)-complex

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Coverings of curves, fundamental group (14H30) Riemann surfaces (30F99) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Topology of algebraic curves. An approach via dessins d'enfants
• Beginner's course in topology. Geometric chapters. Transl. from the Russian by A. Iacob
• A compactification of the Hurwitz space
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Compactification of the space of branched coverings of the two-dimensional sphere
• Riemann existence theorem and construction of real algebraic curves.
• Towards the homology of Hurwitz spaces
• Simplicial structures and transverse cellularity
• On Analytic Coverings of Weighted Projective Spaces
• On deformation types of real elliptic surfaces
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