1 citations · 2 across the 10 of their papers we have counts for
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Convex hypersurfaces and robust heterodimensional dynamics
Julian Chaidez, Michael Huang
We prove that any closed orientable hypersurface in a contact manifold of dimension five or greater is isotopic to a robustly non-convex hypersurface via an arbitrarily -small…
Conformally symplectic topology from a dynamical viewpoint
Julian Chaidez
This survey article discusses the emerging interaction between conformally symplectic topology and dynamics, with a focus on recent developments in convex hypersurface theory.
Pseudo-Anosov Reeb flows and contact structures
Julian Chaidez, Yijie Pan
We introduce the notion of a pseudo-Anosov contact structure, which admits a type of singular contact form with pseudo-Anosov Reeb flow. We prove that contact homology detects the…
On Zoll Contact 5-Spheres
Julian Chaidez, Shira Tanny
We prove that any contact form on the standard contact 5-sphere with Zoll Reeb flow is strictly contactomorphic to a scaling of the standard Zoll contact form.
Contact homology and linearization without dga homotopies
Julian Chaidez
This article clarifies the status of linearized contact homology given the foundations of the contact dg-algebra established by Pardon. In particular, we prove that the set of isom…
Robustly non-convex hypersurfaces in contact manifolds
Julian Chaidez
We construct the first examples of hypersurfaces in any contact manifold of dimension 5 and larger that cannot be -approximated by convex hypersurfaces, contrasting sharply wi…