2001/01/23 by Ely Kerman, Kerman, Ely
Mathematics · Physics and Astronomy · #(primary)57R30 #(secondary)58F05 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG) #math.DG #math.DS #math.SG
paper · pdf · doi:10.48550/arxiv.math/0101185
10 pages
arxiv created 2001/01/23 · openalex publication_date 2001/01/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a new aperiodic symplectic plug and hence new smooth counterexamples to the Hamiltonian Seifert conjecture in R2n for n>2. In other words, we develop an alternative procedure, to those of V. L. Ginzburg and M. Herman, for constructing smooth Hamiltonian flows, on the standard symplectic R2n for n>2, which have compact regular level sets that contain no periodic orbits. The plug described here is a modification of those built by Ginzburg. In particular, we utilize a different "trap" which makes the necessary embeddings of this plug much easier to construct.