J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions
classification
🧮 math.SG
math.GT
keywords
invariantsactionsgrouphamiltonianmomentcauchy-riemannconnectionconstruction
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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.
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