Abstract
We consider the Weil-Petersson form on the Teichmüller space $\mathscr {T}$(S) of a surface S of genus at least 2, and we compute it in terms of the shearing coordinates for $\mathscr {T}$(S) associated to a geodesic lamination λ on S. In the corresponding expression, the Weil-Petersson form coincides with Thurston's intersection form on the space of transverse cocycles for λ.
Citation
Francis Bonahon. Yaşar Sözen. "The Weil-Petersson and Thurston symplectic forms." Duke Math. J. 108 (3) 581 - 597, 15 June 2001. https://doi.org/10.1215/S0012-7094-01-10836-3
Information