3 papers
math.SG2026
Mutations of Local Floer Chain Complexes across Hamiltonian Bifurcations
Hong-kwon Jo, Dongho Lee
We compute the chain-level change of local Floer complexes across the generic bifurcations of periodic orbits in four-dimensional Hamiltonian systems. Although local Floer homology…
math.SG2025
Conley-Zehnder Indices of Spatial Rotating Kepler Problem
Dongho Lee
We study periodic orbits in the spatial rotating Kepler problem from a symplectic-topological perspective. Our first main result provides a complete classification of these orbits…
math.SG2024
Global Hypersurfaces of Section for Geodesic Flows on Convex Hypersurfaces
Sunghae Cho, Dongho Lee
We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admits an isometric involution. This generalizes the Birkhoff annulu…