Surfaces of section for Seifert fibrations

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

References in corpus (1)

• On the structure of Besse convex contact spheres

Cited by in corpus (2)

• Higher systolic inequalities for 3-dimensional contact manifolds
• Reeb flows without simple global surfaces of section