Special Hamiltonian Circle Actions on Symplectic 4-Manifolds and Lagrangian Surfaces

Project Details


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 date1/08/2031/07/21


  • Special Hamiltonian circle action
  • Maslov index
  • symplectic 4-manifold
  • almost toric fibration
  • monotone Lagrangian surface
  • Lagrangian surgery


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