In this project we introduce a special type of Hamiltonian circle actions on symplectic 4-manifolds. We will investigate their basic properties and establish initial relevant classification results. Furthermore, we will apply these special group actions to study monotone Lagrangian surfaces in symplectic 4-manifolds with almost toric fibrations like weighted projective planes and beyond.
|Effective start/end date||1/08/20 → 31/07/21|
- Special Hamiltonian circle action
- Maslov index
- symplectic 4-manifold
- almost toric fibration
- monotone Lagrangian surface
- Lagrangian surgery
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