Surfaces of section for Seifert fibrations
Geometric Topology
2024-01-17 v2 Dynamical Systems
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2102.08142,
title = {Surfaces of section for Seifert fibrations},
author = {Bernhard Albach and Hansjörg Geiges},
journal= {arXiv preprint arXiv:2102.08142},
year = {2024}
}
Comments
20 pages; v2: minor changes to the exposition