15 June 2001 The Weil-Petersson and Thurston symplectic forms
Francis Bonahon, Yaşar Sözen
Duke Math. J. 108(3): 581-597 (15 June 2001). DOI: 10.1215/S0012-7094-01-10836-3

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

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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

Published: 15 June 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1014.32009
MathSciNet: MR1838662
Digital Object Identifier: 10.1215/S0012-7094-01-10836-3

Subjects:
Primary: 32G15
Secondary: 53D30 , 57R30

Rights: Copyright © 2001 Duke University Press

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Vol.108 • No. 3 • 15 June 2001
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