La conjecture des sous-groupes de surfaces [d'après Jeremy Kahn et Vladimir Markovic]

Bergeron, Nicolas

Séminaire Bourbaki volume 2011/2012 exposés 1043-1058, Astérisque, no. 352 (2013), Exposé no. 1055, 30 p.

[1] I. Agol - Criteria for virtual fibering, J. Topol. 1 (2008), n° 2, p. 269-284. | DOI | MR | Zbl

[2] I. Agol, D. Groves & J. Manning - The virtual Haken conjecture, prépublication arXiv:1204.2810. | MR

[3] I. Agol, D. D. Long & A. W. Reid - The Bianchi groups are separable on geometrically finite subgroups, Ann. of Math. 153 (2001), n° 3, p. 599-621. | DOI | MR | Zbl

[4] M. B. Bekka - On uniqueness of invariant means, Proc. Amer. Math. Soc. 126 (1998), n° 2, p. 507-514. | DOI | MR | Zbl

[5] N. Bergeron - Premier nombre de Betti et spectre du laplacien de certaines variétés hyperboliques, Enseign. Math. 46 (2000), nos 1-2, p. 109-137. | MR | Zbl

[6] N. Bergeron & D. T. Wise - A boundary criterion for cubulation, Amer. J. Math. 134 (2012), n° 3, p. 843-859. | DOI | MR | Zbl

[7] P. Billingsley - Convergence of probability measures, second éd., Wiley Series in Probability and Statistics : Probability and Statistics, John Wiley & Sons Inc., 1999. | MR

[8] L. Bowen - Weak forms of the Ehrenpreis conjecture and the surface subgroup conjecture, prépublication arXiv:math/0411662.

[9] M. R. Bridson & A. Haefliger - Metric spaces of non-positive curvature, Grund. Math. Wiss., vol. 319, Springer, 1999. | MR | Zbl

[10] P. Buser - Geometry and spectra of compact Riemann surfaces, Modern Birkhäuser Classics, Birkhäuser, 2010. | DOI | MR | Zbl

[11] D. Calegari - Surface subgroups from homology, Geom. Topol. 12 (2008), n° 4, p. 1995-2007. | DOI | MR | Zbl

[12] D. Cooper, D. D. Long & A. W. Reid - Essential closed surfaces in bounded 3-manifolds, J. Amer. Math. Soc. 10 (1997), n° 3, p. 553-563. | DOI | MR | Zbl

[13] M. Cowling - Sur les coefficients des représentations unitaires des groupes de Lie simples, in Analyse harmonique sur les groupes de Lie (Sém., Nancy-Strasbourg 1976-1978), II, Lecture Notes in Math., vol. 739, Springer, 1979, p. 132-178. | MR | Zbl

[14] M. Cowling, U. Haagerup & R. Howe - Almost $L^2$ matrix coefficients, J. reine angew. Math. 387 (1988), p. 97-110. | EuDML | MR | Zbl

[15] G. Dufour - Cubulations de variétés hyperboliques compactes, thèse de doctorat, Université Paris-Sud, 2012.

[16] L. Ehrenpreis - Cohomology with bounds, in Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69), Academic Press, 1970, p. 389-395. | MR | Zbl

[17] F. Haglund - Finite index subgroups of graph products, Geom. Dedicata 135 (2008), p. 167-209. | DOI | MR | Zbl

[18] F. Haglund & D. T. Wise - Special cube complexes, Geom. Funct. Anal. 17 (2008), n° 5, p. 1551-1620. | DOI | MR | Zbl

[19] P. Hall - On representatives of subsets, J. London Math. Soc. 1 (1935), p. 26-30. | DOI | JFM | Zbl

[20] J. Hempel - $3$-manifolds, AMS Chelsea Publishing, Providence, RI, 2004. | DOI | MR | Zbl

[21] T. Hirai - On irreducible representations of the Lorentz group of $n$ - th order, Proc. Japan Acad. 38 (1962), p. 258-262. | DOI | MR | Zbl

[22] J. Kahn & V. Markovic - Immersing almost geodesic surfaces in a closed hyperbolic three manifold, Ann. of Math. 175 (2012), n° 3, p. 1127-1190. | DOI | MR | Zbl

[23] J. Kahn & V. Markovic, Counting essential surfaces in a closed hyperbolic $3$-manifold, prépublication arXiv:1012.2828. | Zbl

[24] J. Kahn & V. Markovic, The good pants homology and a proof of the Ehrenpreis conjecture, prépublication arXiv:1101.1330. | MR | Zbl

[25] J. Kahn & V. Markovic, Random ideal triangulations and the Weil-Petersson distance between finite degree covers of punctured Riemann surfaces, prépublication arXiv:0806.2304.

[26] C. Kourouniotis - Complex length coordinates for quasi-Fuchsian groups, Mathematika 41 (1994), n° 1, p. 173-188. | DOI | MR | Zbl

[27] H. Kraljević - Representations of the universal convering group of the group $SU(n,1)$, Glasnik Mat. Ser. III 8(28) (1973), p. 23-72. | MR

[28] M. Lackenby - Surface subgroups of Kleinian groups with torsion, Invent. Math. 179 (2010), n° 1, p. 175-190. | DOI | MR | Zbl

[29] G. A. Margulis - Certain applications of ergodic theory to the investigation of manifolds of negative curvature, Funkcional. Anal. i Priložen. 3 (1969), n° 4, p. 89-90. | MR | Zbl

[30] J. D. Masters - Thick surfaces in hyperbolic $3$-manifolds, Geom. Dedicata 119 (2006), p. 17-33. | DOI | MR | Zbl

[31] C. C. Moore - Exponential decay of correlation coefficients for geodesic flows, in Group representations, ergodic theory, operator algebras, and mathematical physics (Berkeley, Calif, 1984), Math. Sci. Res. Inst. Publ., vol. 6, Springer, 1987, p. 163-181. | DOI | MR | Zbl

[32] H. Oh - Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants, Duke Math. J. 113 (2002), n° 1, p. 133-192. | MR | Zbl

[33] M. Sageev - Ends of group pairs and non-positively curved cube complexes, Proc. London Math. Soc. 71 (1995), n° 3, p. 585-617. | DOI | MR | Zbl

[34] P. Scott - Subgroups of surface groups are almost geometric, J. London Math. Soc. 17 (1978), n° 3, p. 555-565. | DOI | MR | Zbl

[35] C. Series - An extension of Wolpert's derivative formula, Pacific J. Math. 197 (2001), n° 1, p. 223-239. | DOI | MR | Zbl

[36] S. P. Tan - Complex Fenchel-Nielsen coordinates for quasi-Fuchsian structures, Internat. J. Math. 5 (1994), n° 2, p. 239-251. | DOI | MR | Zbl

[37] W. P. Thurston - Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), n° 3, p. 357-381. | DOI | MR | Zbl

[38] D. Šarić - Complex Fenchel-Nielsen coordinates with small imaginary parts, prépublication arXiv:1204.5778. | DOI | MR | Zbl

[39] D. T. Wise - The structure of groups with a quasiconvex hierarchy, prépublication disponible sur http://www.math.mcgill.ca/wise/papers.html, 2012.