Seifert Fibration — 3-Manifold Topology
S³ fibered by circles over S² · Hopf fibration base case
A Seifert fibration decomposes a 3-manifold into disjoint circles (fibers). The Hopf fibration S³→S² is the canonical example: each fiber is a great circle in S³, and all fibers are linked exactly once. Visualized here as fibers on nested tori that fill S³. The invariants (p,q) encode how fibers twist around each exceptional orbit.