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math.SG2026
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…
math.SG2026
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.
math.SG2026
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…