Jingye Yang

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math.GT2025

Homotopy Type of the Space of Fibrations of the Three-sphere by Simple Closed Curves

Dennis Deturck, Ziqi Fang, Herman Gluck +4

We show that the moduli space of all smooth fibrations of a three-sphere by simple closed curves has the homotopy type of a disjoint union of a pair of two-spheres if the fibers ar…

math.GT2024

On the homotopy type of the space of fiberings of $S^{1} \times S^{2}$ by simple closed curves

Yi Wang, Jingye Yang

For most aspherical Seifert-fibered 3-manifolds $M$ , the space of Seifert fiberings $S F (M)$ is known to have contractible components. It is also known that the space of Hopf fiberi…

Homotopy Type of the Space of Fibrations of the Three-sphere by Simple Closed Curves

On the homotopy type of the space of fiberings of S1×S2 by simple closed curves

On the homotopy type of the space of fiberings of $S^{1} \times S^{2}$ by simple closed curves