Invariant multi-functions and Hamiltonian flows for surface group
representations
Invariant multi-functions and Hamiltonian flows for surface group
representations
Goldman defined a symplectic form on the smooth locus of the $G$-character variety of a closed, oriented surface $S$ for a Lie group $G$ satisfying very general hypotheses. He then studied the Hamiltonian flows associated to $G$-invariant functions $G \to \mathbb R$ obtained by evaluation on a simple closed curve …