The Goldman Symplectic Form on the $\operatorname {PGL}(V)$-Hitchin Compt

Zhe Sun, University of Science and Technology of China, Hefei, People's Republic of China. Tengren Zhang, National University of Singapore, Singapore.

1. Introduction 2. Features of Hitchin representations and the Hitchin component 3. Topological constructions 4. Tangent cocycles for the Hitchin component 5. The $(\mathcal {T},\mathcal {J})$-trivialization of $T\operatorname {Hit}_V(S)$ 6. The $(\mathcal {T},\mathcal {J})$-trivialization of $\operatorname {Hit}_V(S)$ is symplectic 7. A symplectic basis of vector fields on $\operatorname {Hit}_V(S)$