6 papers · 1 filter
Real ideal points, Conway spheres, and left-orderable Dehn fillings
Yi Wang
We study real ideal points of -character varieties of knot exteriors containing essential Conway spheres. Under explicit deformation-theoretic hypotheses on the tw…
Detected Seifert surfaces and intervals of left-orderable surgeries
Yi Wang
We give a geometric criterion for the existence of one-sided intervals of left-orderable Dehn fillings near the longitudinal slope. Let be an irreducible integral homology soli…
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…
On the homotopy type of the space of fiberings of by simple closed curves
Yi Wang, Jingye Yang
For most aspherical Seifert-fibered 3-manifolds , the space of Seifert fiberings is known to have contractible components. It is also known that the space of Hopf fiberi…
Limiting characters at ideal points detecting twice-punctured tori
Yi Wang
The limiting character, introduced by Tillmann, has been studied recently in the context of Culler-Shalen theory. We extend the methods of the author's previous work to show that c…
Punctured JSJ tori and tautological extensions of Azumaya algebras
Yi Wang
The character variety has emerged as an important tool in studying the topology of hyperbolic 3-manifolds. Chinburg-Reid-Stover constructed arithmetic inv…