The Weil-Petersson symplectic structure at Thurston’s boundary
The Weil-Petersson symplectic structure at Thurston’s boundary
The Weil-Petersson Kähler structure on the Teichmüller space $\mathcal {T}$ of a punctured surface is shown to extend, in an appropriate sense, to Thurstonâs symplectic structure on the space $\mathcal {M}{\mathcal {F}_0}$ of measured foliations of compact support on the surface. We introduce a space ${\widetilde {\mathcal {M}\mathcal {F}}_0}$ of …