We 60 A. Weil, On discrete subgroups of Lie groups, Ann. Math. 72 (1960), 369-384. Home/Search Document Not in Database Summary Related Articles Check |
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The Weil-Petersson and Thurston Symplectic Forms - Sözen, Bonahon (Correct)
.... PSL2 (R) This identifies T (S) to the set of all conjugacy classes of discrete faithful representations of #1 (S) into PSL2 (R) If R denotes the space of conjugacy classes of all representations of #1 (S) into PSL2 (R) it is well known that the image of the above embedding T (S)# R is open; see [We2][Ra] Fix an element # # T (S) # R. The standard theory of deformation of representations (see for instance [We3] Ra] Go] identifies the tangent space T#T (S) T#R to the first cohomology space H 1 (S,Ad#) of the surface with coe#cients in the Lie algebra sl 2 (R) of PSL2 (R) twisted by the ....
A. Weil, On Discrete Subgroups of Lie Groups, Ann. of Math. 72 (1960), 369-384.
Flat Lorentz 3-manifolds and cocompact Fuchsian groups - Goldman, Margulis (1 citation) (Correct)
....onto a discrete subgroup of SO(2; 1) 0 . When M is a closed surface, the space of conjugacy classes of Fuchsian representations OE : Gamma SO(2; 1) 0 is an open subset of the space of conjugacy classes of all representations, which identifies with the Teichmuller space T(M) of M . See Weil [26, 27, 28], xVI of Raghunathan [22] for the general theory and Goldman [12, 13] for the case of surface groups. Its tangent space identifies with the cohomology group H 1 (G; R 2;1 ) where G = OE( Since the classical theory of Fuchsian groups is usually phrased in terms of SL(2; R) rather than ....
Weil, A., Discrete subgroups of Lie groups I, Ann. Math. 72 (1960), 369--384.
From Dynamics on Surfaces to Rational Points on Curves - McMullen (1999) (1 citation) (Correct)
....for surveys, see [RS] Ri] and [DDT] x2. Thurston s classification of surface diffeomorphisms is outlined in [Th1] and developed in detail in [FLP] here we present Bers complex analytic approach [Bers] Mumford s compactness theorem appears in [Mum] for a related result due to Weil, see [Wl1]. For more about the hyperbolic geometry of surfaces, see Buser s text [Bus] The theme of short geodesics, appearing here in the proofs of the classification of surface diffeomorphisms and of the geometric Shafarevich conjecture, is also seen in Thurston s work on rational maps and hyperbolic ....
A. Weil. On discrete subgroups of Lie groups. Annals of Math. 72(1960), 369--384.
Connectivity properties of group actions on non-positively.. - Bieri, Geoghegan (Correct)
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We 60 A. Weil, On discrete subgroups of Lie groups, Ann. Math. 72 (1960), 369-384.
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