7 papers
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…
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…
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…
Detected Seifert surfaces and intervals of left-orderable surgeries
Yi Wang
Motivated by the -space conjecture, we prove left-orderability of certain Dehn fillings on integral homology solid tori with techniques first appearing in the work of Culler-Dun…
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…