Surfaces of section for Seifert fibrations
arXiv:2102.08142 · doi:10.1007/s40598-021-00184-w
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.
20 pages; v2: minor changes to the exposition