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Structures affines et projectives sur les surfaces complexes

Bruno Klingler (1998)

Annales de l'institut Fourier

Une structure complexe affine (resp. projective) sur une surface complexe est la donnée d’un atlas de cartes à valeur dans $ℂ^{2}$ (resp. $P^{2} ℂ$ ) à changements de cartes localement constants dans le groupe affine $A (2, ℂ)$ (resp. le groupe $P G L (3, ℂ)$ ). Dans cet article nous classifions les surfaces complexes affines et calculons, à surface complexe $S$ fixée, l’espace de déformation des structures complexes affines sur $S$ compatibles avec sa structure analytique. Nous montrons aussi que toute structure projective sur une surface...

Sufficiently rich families of planar rings.

Cannon, J.W., Floyd, W.J., Parry, W.J. (1999)

Annales Academiae Scientiarum Fennicae. Mathematica

Sur les feuilletages géodesiques continus de variétés hyperboliques.

A. Zeghib (1993)

Inventiones mathematicae

Sur l'homologie et le spectre des variétés hyperboliques

Nicolas Bergeron (1999/2000)

Séminaire de théorie spectrale et géométrie

Surface Projective Convexe de volume fini

Ludovic Marquis (2012)

Annales de l’institut Fourier

Une surface projective convexe est le quotient d’un ouvert proprement convexe $Ω$ de l’espace projectif réel $ℙ^{2} (ℝ)$ par un sous-groupe discret $Γ$ de ${SL}_{3} (ℝ)$ . Nous donnons plusieurs caractérisations du fait qu’une surface projective convexe est de volume fini pour la mesure de Busemann. On en déduit que si $Ω$ n’est pas un triangle alors $Ω$ est strictement convexe, à bord $𝒞^{1}$ et qu’une surface projective convexe $S$ est de volume fini si et seulement si la surface duale est de volume fini.

Symmetries, isometries and length spectra of closed hyperbolic three-manifolds.

Hodgson, Craig D., Weeks, Jeffrey R. (1994)

Experimental Mathematics

Symplectic fillability of tight contact structures on torus bundles.

Ding, Fan, Geiges, Hansjörg (2001)

Algebraic & Geometric Topology

Symplectic fillings and positive scalar curvature.

Lisca, Paolo (1998)

Geometry & Topology

Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities.

Jon G. Wolfson, John D. McCarthy (1995)

Inventiones mathematicae

Symplectic Lefschetz fibrations on $S^{1} \times M^{3}$ .

Chen, Weimin, Matveyev, Rostislav (2000)

Geometry & Topology

Tameness on the boundary and Ahlfors' measure conjecture

Jeffrey Brock, Kenneth Bromberg, Richard Evans, Juan Souto (2003)

Publications Mathématiques de l'IHÉS

Let N be a complete hyperbolic 3-manifold that is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We show N is homeomorphic to the interior of a compact 3-manifold, or tame, if one of the following conditions holds: 1. N has non-empty conformal boundary, 2. N is not homotopy equivalent to a compression body, or 3. N is a strong limit of geometrically finite manifolds. The first case proves Ahlfors’ measure conjecture for kleinian groups in the closure of the geometrically finite...

I describe how the colored Jones polynomials of the figure-eight knot determine the volumes of the three-manifolds obtained by Dehn surgeries along it, according to my joint work with Y. Yokota.

Currently displaying 181 – 200 of 241

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Displaying 181 – 200 of 241

Structures affines et projectives sur les surfaces complexes

Sufficiently rich families of planar rings.

Sur les feuilletages géodesiques continus de variétés hyperboliques.

Sur l'homologie et le spectre des variétés hyperboliques

Surface Projective Convexe de volume fini

Symmetries, isometries and length spectra of closed hyperbolic three-manifolds.

Symplectic fillability of tight contact structures on torus bundles.

Symplectic fillings and positive scalar curvature.

Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities.

Symplectic Lefschetz fibrations on $S^{1} \times M^{3}$ .

Tameness on the boundary and Ahlfors' measure conjecture

Tetra and Didi, the cosmic spectral twins.

The Achilles' heel of $O (3, 1)$ ?

The A-polynomial of the $(- 2, 3, 3 + 2 n)$ pretzel knots.

The automorphism groups of finite type $G$ -structures on orbifolds.

The Bloch invariant as a characteristic class in $B {(SL}_{2} (ℂ), 𝔗)$ .

The classification of nonsimple algebraic tangles.

The classification of punctured-torus groups.

The classification of $S^{2} \times ℝ$ space groups.

The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries

Currently displaying 181 – 200 of 241