@article{ASENS_2004_4_37_1_77_0, author = {Burger, Marc and Iozzi, Alessandra}, title = {Bounded K\"ahler class rigidity of actions on hermitian symmetric spaces}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {37}, year = {2004}, pages = {77-103}, doi = {10.1016/j.ansens.2003.09.001}, mrnumber = {2050206}, zbl = {1061.32016}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_2004_4_37_1_77_0} }
Burger, Marc; Iozzi, Alessandra. Bounded Kähler class rigidity of actions on hermitian symmetric spaces. Annales scientifiques de l'École Normale Supérieure, Tome 37 (2004) pp. 77-103. doi : 10.1016/j.ansens.2003.09.001. http://gdmltest.u-ga.fr/item/ASENS_2004_4_37_1_77_0/
[1] Réseaux arithmétiques et commensurateurs d'après G. A. Margulis, Invent. Math. 116 (1994) 1-25. | MR 1253187 | Zbl 0833.22014
, ,[2] Actions propres sur les espaces homogènes réductifs, Ann. of Math. (2) 144 (1996) 315-347. | MR 1418901 | Zbl 0868.22013
,[3] Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Invent. Math. 111 (1993) 285-308. | MR 1198811 | Zbl 0777.58029
, ,[4] Surface group representations in PU(p,q) and Higgs bundles, http://arxiv.org/abs/math.AG/0211431. | MR 2123494
, , ,[5] Some remarks on bounded cohomology, in: Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, NY, 1978) (Princeton, NJ), Ann. of Math. Stud., vol. 97, Princeton Univ. Press, 1981, pp. 53-63. | MR 624804 | Zbl 0457.55002
,[6] Boundary maps in bounded cohomology, Geom. Funct. Anal. 12 (2002) 281-292. | MR 1911668 | Zbl 1006.22011
, ,[7] Surface group representations with maximal Toledo invariant, C. R. Acad. Sci. Paris Sér. I 336 (2003) 387-390. | MR 1979350 | Zbl 1035.32013
, , ,[8] Burger M., Monod N., Continuous bounded cohomology and applications, unpublished.
[9] Continuous bounded cohomology and applications to rigidity theory, Geom. Funct. Anal. 12 (2002) 219-280. | MR 1911660 | Zbl 1006.22010
, ,[10] Clerc J.L., Ørsted B., The Gromov norm of the Käehler class and the Maslov index, preprint, June 2002. | Zbl 1079.53120
[11] The Gromov norm of the Käehler class of symmetric domains, Math. Ann. 276 (3) (1987) 425-432. | MR 875338 | Zbl 0595.53061
, ,[12] Bounds for Characteristic Numbers of Flat Bundles, in: Algebraic topology, Aarhus 1978, Lecture Notes in Mathematics, vol. 763, Springer-Verlag, 1979. | MR 561216 | Zbl 0511.57018
,[13] À propos de l'article: “Sur la cohomologie réelle des groupes de Lie simples réels”, Ann. Sci. École Norm. Sup. (4) 11 (2) (1978) 277-292, par A. Guichardet et D. Wigner , Ann. Sci. École Norm. Sup. (4) 11 (2) (1978) 293-295. | Numdam | Zbl 0398.22016
, ,[14] Groupes d'homéomorphismes du cercle et cohomologie bornée, in: The Lefschetz Centennial Conference, Part III (Mexico City 1984), Contemp. Math., vol. 58, American Mathematical Society, RI, 1987, pp. 81-106. | MR 893858 | Zbl 0617.58009
,[15] Le cercle à l'infini des surfaces à courbure négative, in: Proceedings of the International Congress of Mathematicians, vols. I, II (Kyoto, 1990) (Tokyo), Math. Soc. Japan, 1991, pp. 501-509. | MR 1159237 | Zbl 0747.53032
,[16] Complex Hyperbolic Geometry, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, New York, 1999, Oxford Science Publications. | MR 1695450 | Zbl 0939.32024
,[17] Topological components of spaces of representations, Invent. Math. 93 (3) (1988) 557-607. | MR 952283 | Zbl 0655.57019
,[18] Some results on bounded cohomology, in: Combinatorial and Geometric Group Theory (Edinburgh, 1993), London Math. Soc. Lecture Note Ser., vol. 204, Cambridge Univ. Press, Cambridge, 1995, pp. 111-163. | MR 1320279 | Zbl 0853.20034
,[19] Sur la cohomologie réelle des groupes de Lie simples réels, Ann. Sci. École Norm. Sup. (4) 11 (2) (1978) 277-292. | Numdam | MR 510552 | Zbl 0398.22015
, ,[20] Representations of free Fuchsian groups in complex hyperbolic space, Topology 39 (2000) 33-60. | MR 1710991 | Zbl 0977.32017
, ,[21] Maximal representations of surface groups in bounded symmetric domains, Trans. Amer. Math. Soc. 324 (1991) 405-420. | MR 1033234 | Zbl 0733.32024
,[22] Bounded cohomology, boundary maps, and representations into Homeo+(S1) and SU(1,n), in: Rigidity in Dynamics and Geometry, Cambridge, UK, 2000, Springer-Verlag, 2002, pp. 237-260. | MR 1919404 | Zbl 1012.22023
,[23] The Poisson boundary of an amenable extension, Monatsh. Math. 136 (1) (2002) 9-15. | MR 1908077 | Zbl 1004.43001
,[24] Discrete Subgroups of Semisimple Lie Groups, Springer-Verlag, New York, 1991. | MR 1090825 | Zbl 0732.22008
,[25] Some remarks on foliated S1 bundles, Invent. Math. 90 (1987) 343-358. | MR 910205 | Zbl 0681.58007
,[26] Bounded cohomology and l1-homology of surfaces, Topology 23 (4) (1984) 465-471. | MR 780736 | Zbl 0568.55002
,[27] Continuous Bounded Cohomology of Locally Compact Groups, Lecture Notes in Math., vol. 1758, Springer-Verlag, 2001. | MR 1840942 | Zbl 0967.22006
,[28] Monod N., Shalom Y., Rigidity of orbit equivalence and bounded cohomology, Ann. Math., in press. | Zbl 1129.37003
[29] R-regular elements in Zariski-dense subgroups, Quart. J. Math. Oxford Ser. (2) 45 (180) (1994) 541-545. | MR 1315463 | Zbl 0828.22010
,[30] Cartan subgroups and lattices in semi-simple groups, Ann. of Math. 96 (1972) 296-317. | MR 302822 | Zbl 0245.22013
, ,[31] Inequalities defining orbit spaces, Invent. Math. 81 (3) (1985) 539-554. | MR 807071 | Zbl 0578.14010
, ,[32] Harmonic maps from surfaces to certain Kähler manifolds, Math. Scand. 45 (1979) 13-26. | MR 567429 | Zbl 0435.58008
,[33] Representations of surface groups in complex hyperbolic space, J. Differential Geom. 29 (1) (1989) 125-133. | MR 978081 | Zbl 0676.57012
,[34] Xia E.Z., The moduli of flat U(p,1) structures on Riemann surfaces, preprint, 2001. | MR 2003688 | Zbl 1050.14022
[35] Amenable ergodic group actions and an application to Poisson boundaries of random walks, J. Funct. Anal. 27 (1978) 350-372. | MR 473096 | Zbl 0391.28011
,