Surfaces of section for Seifert fibrations

Bernhard Albach; Hansjörg Geiges

doi:10.1007/s40598-021-00184-w

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arXiv · 2102.08142

Surfaces of section for Seifert fibrations

Bernhard Albach·Hansjörg Geiges

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Abstract

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.

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BibTeX RIS

Bernhard Albach, Hansjörg Geiges. 2021-02-16. Surfaces of section for Seifert fibrations. https://doi.org/10.1007/s40598-021-00184-w

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