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Relatively geometric actions of Kähler groups on $\mathrm{CAT}(0)$ cube complexes

Corey Bregman, Daniel Groves and Kejia Zhu

Algebraic & Geometric Topology 24 (2024) 4127–4137
Bibliography
1 I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
2 A Ash, D Mumford, M Rapoport, Y S Tai, Smooth compactifications of locally symmetric varieties, Cambridge Univ. Press (2010) MR2590897
3 J Behrstock, C Druţu, L Mosher, Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity, Math. Ann. 344 (2009) 543 MR2501302
4 N Bergeron, F Haglund, D T Wise, Hyperplane sections in arithmetic hyperbolic manifolds, J. Lond. Math. Soc. 83 (2011) 431 MR2776645
5 N Bergeron, D T Wise, A boundary criterion for cubulation, Amer. J. Math. 134 (2012) 843 MR2931226
6 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
7 D Cooper, D Futer, Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3–manifolds, Geom. Topol. 23 (2019) 241 MR3921320
8 T Delzant, M Gromov, Cuts in Kähler groups, from: "Infinite groups: geometric, combinatorial and dynamical aspects" (editors L Bartholdi, T Ceccherini-Silberstein, T Smirnova-Nagnibeda, A Zuk), Progr. Math. 248, Birkhäuser (2005) 31 MR2195452
9 T Delzant, P Py, Cubulable Kähler groups, Geom. Topol. 23 (2019) 2125 MR3988093
10 E Einstein, D Groves, Relative cubulations and groups with a 2–sphere boundary, Compos. Math. 156 (2020) 862 MR4079630
11 E Einstein, D Groves, Relatively geometric actions on CAT(0) cube complexes, J. Lond. Math. Soc. 105 (2022) 691 MR4411337
12 E Einstein, D Groves, T Ng, Separation and relative quasiconvexity criteria for relatively geometric actions, Groups Geom. Dyn. 18 (2024) 649 MR4729821
13 E Einstein, T Ng, Relative cubulation of small cancellation free products, preprint (2021) arXiv:2111.03008
14 B Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998) 810 MR1650094
15 W M Goldman, Complex hyperbolic geometry, Clarendon (1999) MR1695450
16 M Gromov, R Schoen, Harmonic maps into singular spaces and p–adic superrigidity for lattices in groups of rank one, Inst. Hautes Études Sci. Publ. Math. 76 (1992) 165 MR1215595
17 D Groves, J F Manning, Dehn filling in relatively hyperbolic groups, Israel J. Math. 168 (2008) 317 MR2448064
18 D Groves, J F Manning, Dehn fillings and elementary splittings, Trans. Amer. Math. Soc. 370 (2018) 3017 MR3766840
19 D Groves, J F Manning, Hyperbolic groups acting improperly, Geom. Topol. 27 (2023) 3387 MR4674833
20 F Haglund, Isometries of CAT(0) cube complexes are semi-simple, Ann. Math. Qué. 47 (2023) 249 MR4645691
21 P Haïssinsky, Hyperbolic groups with planar boundaries, Invent. Math. 201 (2015) 239 MR3359053
22 C Hummel, Rank one lattices whose parabolic isometries have no rotational part, Proc. Amer. Math. Soc. 126 (1998) 2453 MR1443390
23 C Hummel, V Schroeder, Cusp closing in rank one symmetric spaces, Invent. Math. 123 (1996) 283 MR1374201
24 V Markovic, Criterion for Cannon’s conjecture, Geom. Funct. Anal. 23 (2013) 1035 MR3061779
25 G Niblo, L Reeves, Groups acting on CAT(0) cube complexes, Geom. Topol. 1 (1997) 1 MR1432323
26 D V Osin, Peripheral fillings of relatively hyperbolic groups, Invent. Math. 167 (2007) 295 MR2270456
27 P Py, Lectures on Kähler groups, preprint (2024)
28 D Toledo, Examples of fundamental groups of compact Kähler manifolds, Bull. London Math. Soc. 22 (1990) 339 MR1058308
29 D T Wise, The structure of groups with a quasiconvex hierarchy, 209, Princeton Univ. Press (2021) MR4298722