3 papers
math.SG2026
Rabinowitz Floer homology for Legendrian submanifolds in prequantization bundles
Hanwool Bae, Jungsoo Kang, Sungho Kim
Let be a prequantization bundle over an integral symplectic manifold . Let be a closed monotone Lagrangian submanifold that admits a Legendrian lift in…
math.SG2025
Consecutive collision orbits in the restricted three-body problem above the first critical energy value
Jungsoo Kang, Kevin Ruck
In this paper, we study the planar circular restricted three-body problem for energy levels slightly above the first critical value. We first observe that the energy hypersurfaces…
math.SG2023
Rabinowitz Floer homology for prequantization bundles and Floer Gysin sequence
Joonghyun Bae, Jungsoo Kang, Sungho Kim
Let be a prequantization bundle over a closed spherically monotone symplectic manifold . Adapting an idea due to Diogo and Lisi, we study a split version of Rabinowitz Floer…