Surfaces of section for Seifert fibrations
Autor: | Albach, Bernhard, Geiges, Hansjörg |
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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 |
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