Leandro Lichtenfelz, Wake Forest, Smooth Fibrations of the 3-Sphere by Simple Closed Curves
ZoomWe show that the moduli space of all smooth fibrations of a 3-sphere by oriented simple closed curves has the homotopy type of a disjoint union of a pair of 2-spheres, which coincides with the homotopy type of the finite-dimensional subspace of Hopf fibrations. In the course of the proof, we present a pair of…