J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions
Kai Cieliebak, Ana Rita Gaio, Dietmar A. Salamon
Abstract
We outline the construction of invariants of Hamiltonian group actions on symplectic manifolds. These invariants can be viewed as an equivariant version of Gromov-Witten invariants. They are derived from solutions of a PDE involving the Cauchy-Riemann operator, the curvature of a connection, and the moment map.
Create a lesson
Related papers
Existence of a positive hyperbolic orbit in three-dimensional Reeb flows
Taisuke Shibata
Symplectic Yang-Mills Theory
Jonathan Delgado, Li-Sheng Tseng, Jiawei Zhou
Moment Lagrangians, unobstructedness and symplectic groupoids
Yan-Lung Leon Li
The First Correction Term in the Asymptotic Expansion of Bohr--Sommerfeld Lagrangian States
Yusaku Tiba
Extended Future Tube Conjecture for Unipotent Subgroups
Maxim Kukol
Shifted Contact Structures on Exact Symplectic Fibrations
Mehmet Fırat Arıkan, Kadri İlker Berktav, Efe İzbudak