Surfaces of section for Seifert fibrations

Autor: Albach, Bernhard, Geiges, Hansjörg
Rok vydání: 2021
Předmět:
Zdroj: Arnold Math. J. 7 (2021), 573-597
Druh dokumentu: Working Paper
DOI: 10.1007/s40598-021-00184-w
Popis: We classify global surfaces of section for flows on 3-manifolds defining Seifert fibrations. We discuss branched coverings -- one way or the other -- between surfaces of section for the Hopf flow and those for any other Seifert fibration of the 3-sphere, and we relate these surfaces of section to algebraic curves in weighted complex projective planes.
Comment: 20 pages; v2: minor changes to the exposition
Databáze: arXiv