10 papers
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…
Open-Closed Hochschild Homology and the Relative Disk Mapping Space
Yi Wang, Hang Yuan
It is known that a model for the differential graded algebra (dga) of differential forms on the free loop space of a simply connected smooth manifold is given by the Hochs…
Comparing dg category models for path spaces via -functors
Manuel Rivera, Yi Wang
We construct a many-object dual version of Chen's iterated integral map. For any topological space X, the construction takes the form of an A-infinity functor between two dg catego…
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…
Asymmetric Colorings of Disjoint Unions of Graphs
Bruno Aguilar, Daibik Barik, Jetharam Bhambhu +7
The asymmetric coloring number of a graph is the minimum number of colors needed to color its vertices, so that no non-trivial automorphism preserves the color classes. We investig…
Subdivision method in the Laplacian matching polynomial
Jiang-Chao Wan, Yi Wang, Zhi-Yuan Wang
As a bridge connecting the matching polynomial and the Laplacian matching polynomial of graphs, the subdivision method is expected to be useful for investigating the Laplacian matc…
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…