Geometry & Topology Volume 22, issue 1 (2018)

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Dynamics on flag manifolds: domains of proper discontinuity and cocompactness

Michael Kapovich, Bernhard Leeb and Joan Porti

Geometry & Topology 22 (2018) 157–234

DOI: 10.2140/gt.2018.22.157

Bibliography

1	Y Benoist, Propriétés asymptotiques des groupes linéaires, Geom. Funct. Anal. 7 (1997) 1 MR1437472
2	A Björner, F Brenti, Combinatorics of Coxeter groups, 231, Springer (2005) MR2133266
3	A Borel, J Tits, Compléments à l’article : “Groupes réductifs”, Inst. Hautes Études Sci. Publ. Math. 41 (1972) 253 MR0315007
4	N Bourbaki, Éléments de mathématique, XXXIV : Groupes et algèbres de Lie, Chapitres 4–6, 1337, Hermann (1968) MR0240238
5	B H Bowditch, Convergence groups and configuration spaces, from: "Geometric group theory down under" (editors J Cossey, W D Neumann, M Shapiro), de Gruyter (1999) 23 MR1714838
6	A Cano, J P Navarrete, J Seade, Complex Kleinian groups, 303, Springer (2013) MR2985759
7	C Chevalley, Sur les décompositions cellulaires des espaces G∕B, from: "Algebraic groups and their generalizations: classical methods" (editors W J Haboush, B J Parshall), Proc. Sympos. Pure Math. 56, Amer. Math. Soc. (1994) 1 MR1278698
8	P B Eberlein, Geometry of nonpositively curved manifolds, Univ. of Chicago Press (1996) MR1441541
9	M Farber, J C Hausmann, D Schütz, On the conjecture of Kevin Walker, J. Topol. Anal. 1 (2009) 65 MR2649349
10	C Frances, Lorentzian Kleinian groups, Comment. Math. Helv. 80 (2005) 883 MR2182704
11	O Guichard, A Wienhard, Anosov representations: domains of discontinuity and applications, Invent. Math. 190 (2012) 357 MR2981818
12	Y Guivarc’h, Produits de matrices aléatoires et applications aux propriétés géométriques des sous-groupes du groupe linéaire, Ergodic Theory Dynam. Systems 10 (1990) 483 MR1074315
13	S Helgason, Differential geometry, Lie groups, and symmetric spaces, 34, Amer. Math. Soc. (2001) MR1834454
14	J E Humphreys, Reflection groups and Coxeter groups, 29, Cambridge Univ. Press (1990) MR1066460
15	M Kapovich, B Leeb, Discrete isometry groups of symmetric spaces, MSRI lecture notes (2015) arXiv:1703.02160
16	M Kapovich, B Leeb, Finsler bordifications of symmetric and certain locally symmetric spaces, preprint (2015) arXiv:1505.03593v5
17	M Kapovich, B Leeb, J Millson, Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity, J. Differential Geom. 81 (2009) 297 MR2472176
18	M Kapovich, B Leeb, J Porti, Dynamics at infinity of regular discrete subgroups of isometries of higher rank symmetric spaces, preprint (2013) arXiv:1306.3837v1
19	M Kapovich, B Leeb, J Porti, Morse actions of discrete groups on symmetric space, preprint (2014) arXiv:1403.7671
20	M Kapovich, B Leeb, J Porti, A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings, preprint (2014) arXiv:1411.4176v1
21	M Kapovich, B Leeb, J Porti, Anosov subgroups: dynamical and geometric characterizations, (2016) arXiv:1703.01647
22	M Kapovich, B Leeb, J Porti, Some recent results on Anosov representations, Transform. Groups 21 (2016) 1105 MR3569569
23	M Kapovich, J Millson, On the moduli space of polygons in the Euclidean plane, J. Differential Geom. 42 (1995) 133 MR1350697
24	M Kapovich, J J Millson, A path model for geodesics in Euclidean buildings and its applications to representation theory, Groups Geom. Dyn. 2 (2008) 405 MR2415306
25	A Karlsson, On the dynamics of isometries, Geom. Topol. 9 (2005) 2359 MR2209375
26	B Kleiner, B Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. 86 (1997) 115 MR1608566
27	R S Kulkarni, Groups with domains of discontinuity, Math. Ann. 237 (1978) 253 MR508756
28	F Labourie, Anosov flows, surface groups and curves in projective space, Invent. Math. 165 (2006) 51 MR2221137
29	B Leeb, A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry, 326, Univ. Bonn, Math. Inst. (2000) MR1934160
30	P Littelmann, Paths and root operators in representation theory, Ann. of Math. 142 (1995) 499 MR1356780
31	S A Mitchell, Quillen’s theorem on buildings and the loops on a symmetric space, Enseign. Math. 34 (1988) 123 MR960196
32	S A Mitchell, Parabolic orbits in flag varieties, preprint (2008)
33	D Mumford, J Fogarty, F Kirwan, Geometric invariant theory, 34, Springer (1994) MR1304906
34	P Papasoglu, E Swenson, Boundaries and JSJ decompositions of CAT(0)-groups, Geom. Funct. Anal. 19 (2009) 559 MR2545250
35	A Parreau, La distance vectorielle dans les immeubles affines et les espaces symétriques, in preparation
36	D Schütz, The isomorphism problem for planar polygon spaces, J. Topol. 3 (2010) 713 MR2684518
37	D Sullivan, Quasiconformal homeomorphisms and dynamics, II : Structural stability implies hyperbolicity for Kleinian groups, Acta Math. 155 (1985) 243 MR806415