4 papers · 1 filter
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…