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The Weil-Petersson and Thurston Symplectic Forms  (Make Corrections)  
Yasar Sözen, Francis Bonahon



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Abstract: . We consider the Weil-Petersson form on the Teichm uller space T (S) of a surface S of genus at least 2, and compute it in terms of the shearing coordinates for T (S) associated to a geodesic lamination # on S. In the corresponding expression, the Weil-Petersson form coincides with Thurston's intersection form on the space of transverse cocycles for #. Let S be a closed oriented surface of genus at least 2. The Teichm uller space T (S) is the space of isotopy classes of complex structures on ... (Update)

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BibTeX entry:   (Update)

@misc{ zen-weilpetersson,
  author = "Yasar Sözen and Francis Bonahon",
  title = "The Weil-Petersson and Thurston Symplectic Forms",
  url = "citeseer.ist.psu.edu/304579.html" }
Citations (may not include all citations):
21   Analytical and Geometric Aspects of Hyperbolic Space (context) - Canary, Epstein et al. - 1987
15   The symplectic nature of fundamental groups of surfaces (context) - Goldman - 1984
14   Combinatorics of train tracks (context) - Penner, Harer - 1992
7   Remarks on the cohomology of groups (context) - Weil - 1964
6   Minimal stretch maps between hyperbolic surfaces (context) - Thurston - 1986
4   On Discrete Subgroups of Lie Groups (context) - Weil - 1960
3   Discrete subgroups of Lie groups (context) - Ragunathan - 1972
2   older distributions for geodesic laminations (context) - Bonahon - 1997
2   Variations of the boundary geometry of 3--dimensional hyperb.. - Bonahon - 1998
2   the symplectic geometry of deformations of a hyperbolic surf.. (context) - Wolpert - 1983
2   Weil-Petersson volumes (context) - Penner - 1992
2   Some remarks on Teichm uller's space of Riemann Surfaces (context) - Ahlfors - 1961
1   969-997 (context) - Wolpert, Weil-Petersson et al. - 1985
1   and Thurston's symplectic form (context) - Bonahon, surfaces et al. - 1996
1   The Weil-Petersson symplectic form and Thurston's boundary (context) - Papadopoulos, Penner - 1993

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Hyperideal Polyhedra In Hyperbolic 3-Space - Bao, Bonahon (2001)   (Correct)

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