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Nearly geodesic immersions and domains of discontinuity

Colin Davalo

Geometry & Topology 29 (2025) 2391–2461
Bibliography
1 D Alessandrini, Higgs bundles and geometric structures on manifolds, Symmetry Integrability Geom. Methods Appl. 15 (2019) 039 MR3948927
2 D Alessandrini, C Davalo, Q Li, Projective structures with (quasi-)Hitchin holonomy, J. Lond. Math. Soc. 110 (2024) MR4803942
3 D Alessandrini, S Maloni, N Tholozan, A Wienhard, Fiber bundles associated with Anosov representations, Forum Math. Sigma 13 (2025) MR4880500
4 Y Benoist, Propriétés asymptotiques des groupes linéaires, Geom. Funct. Anal. 7 (1997) 1 MR1437472
5 J Beyrer, M B Pozzetti, Positive surface group representations in PO(p,q), J. Eur. Math. Soc. (2024)
6 J Bochi, R Potrie, A Sambarino, Anosov representations and dominated splittings, J. Eur. Math. Soc. 21 (2019) 3343 MR4012341
7 S Bradlow, B Collier, O García-Prada, P Gothen, A Oliveira, A general Cayley correspondence and higher rank Teichmüller spaces, Ann. of Math. 200 (2024) 803 MR4816435
8 S B Bradlow, O García-Prada, P B Gothen, Deformations of maximal representations in Sp(4, ), Q. J. Math. 63 (2012) 795 MR2999985
9 S Bronstein, Almost-Fuchsian structures on disk bundles over a surface, preprint (2023) arXiv:2305.06665
10 M Burger, A Iozzi, F Labourie, A Wienhard, Maximal representations of surface groups : symplectic Anosov structures, Pure Appl. Math. Q. 1 (2005) 543 MR2201327
11 M Burger, A Iozzi, A Wienhard, Surface group representations with maximal Toledo invariant, Ann. of Math. 172 (2010) 517 MR2680425
12 M Burger, M B Pozzetti, Maximal representations, non-Archimedean Siegel spaces, and buildings, Geom. Topol. 21 (2017) 3539 MR3692972
13 B Collier, N Tholozan, J Toulisse, The geometry of maximal representations of surface groups into SO0(2,n), Duke Math. J. 168 (2019) 2873 MR4017517
14 D Dumas, A Sanders, Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations, Geom. Topol. 24 (2020) 1615 MR4173918
15 P B Eberlein, Geometry of nonpositively curved manifolds, Univ. Chicago Press (1996) MR1441541
16 C L Epstein, The hyperbolic Gauss map and quasiconformal reflections, J. Reine Angew. Math. 372 (1986) 96 MR863521
17 C Fevola, Y Mandelshtam, B Sturmfels, Pencils of quadrics: old and new, Matematiche (Catania) 76 (2021) 319 MR4334890
18 V Fock, A Goncharov, Moduli spaces of local systems and higher Teichmüller theory, Publ. Math. Inst. Hautes Études Sci. 103 (2006) 1 MR2233852
19 Ś R Gal, On normal subgroups of Coxeter groups generated by standard parabolic subgroups, Geom. Dedicata 115 (2005) 65 MR2180042
20 M Gromov, Hyperbolic manifolds, groups and actions, from: "Riemann surfaces and related topics", Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 183 MR624814
21 M Gromov, H B Lawson Jr., W Thurston, Hyperbolic 4–manifolds and conformally flat 3–manifolds, Inst. Hautes Études Sci. Publ. Math. 68 (1988) 27 MR1001446
22 O Guichard, F Labourie, A Wienhard, Positivity and representations of surface groups, preprint (2021) arXiv:2106.14584
23 O Guichard, A Wienhard, Topological invariants of Anosov representations, J. Topol. 3 (2010) 578 MR2684514
24 O Guichard, A Wienhard, Anosov representations: domains of discontinuity and applications, Invent. Math. 190 (2012) 357 MR2981818
25 O Guichard, A Wienhard, Generalizing Lusztig’s total positivity, Invent. Math. 239 (2025) 707 MR4861126
26 S Helgason, Differential geometry, Lie groups, and symmetric spaces, 80, Academic (1978) MR514561
27 N J Hitchin, Lie groups and Teichmüller space, Topology 31 (1992) 449 MR1174252
28 M Kapovich, B Leeb, Finsler bordifications of symmetric and certain locally symmetric spaces, Geom. Topol. 22 (2018) 2533 MR3811766
29 M Kapovich, B Leeb, J Porti, Anosov subgroups: dynamical and geometric characterizations, Eur. J. Math. 3 (2017) 808 MR3736790
30 M Kapovich, B Leeb, J Porti, Dynamics on flag manifolds: domains of proper discontinuity and cocompactness, Geom. Topol. 22 (2018) 157 MR3720343
31 M Kapovich, B Leeb, J Porti, A Morse lemma for quasigeodesics in symmetric spaces and Euclidean buildings, Geom. Topol. 22 (2018) 3827 MR3890767
32 F Labourie, Anosov flows, surface groups and curves in projective space, Invent. Math. 165 (2006) 51 MR2221137
33 A L Onishchik, È B Vinberg, Lie groups and algebraic groups, Springer (1990) MR1064110
34 P Planche, Géométrie de Finsler sur les espaces symétriques, PhD thesis, Université de Genève (1995)
35 J M Riestenberg, A quantified local-to-global principle for Morse quasigeodesics, Groups Geom. Dyn. 19 (2025) 37 MR4862327
36 K K Uhlenbeck, Closed minimal surfaces in hyperbolic 3–manifolds, from: "Seminar on minimal submanifolds", Ann. of Math. Stud. 103, Princeton Univ. Press (1983) 147 MR795233
37 A Wienhard, An invitation to higher Teichmüller theory, from: "Proceedings of the International Congress of Mathematicians, II", World Sci. (2018) 1013 MR3966798
38 M Wiggerman, The fundamental group of a real flag manifold, Indag. Math. 9 (1998) 141 MR1618211