A boundary criterion for cubulation

American Journal of Mathematics

Volumn 134, Issue 3, 2012, Pages 843-859

  Bergeron, Nicolas ^a   Wise, Daniel T ^b  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84861907187     PISSN: 00029327     EISSN: 10806377     Source Type: Journal    
DOI: 10.1353/ajm.2012.0020     Document Type: Article

References (19)

1. I. Agol, Criteria for virtual fibering, J. Topol. 1 (2008), no. 2, 269-284.
2. N. Bergeron, Cycles géodésiques transverses dans les variétés hyperboliques, Geom. Funct. Anal. 12 (2002), no. 3, 437-463.
3. N. Bergeron, F. Haglund, and D. T. Wise, Hyperplane sections in arithmetic hyperbolic manifolds, J. London Math. Soc. (2) 83 (2011), no. 2, 431-448.
4. A. Borel and N. R. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Ann. of Math. Stud., vol. 94, Princeton University Press, Princeton, NJ, 1980.
5. B. Bowditch, Relatively hyperbolic groups, preprint, 1999.
6. B. H. Bowditch, Convergence groups and configuration spaces, Geometric Group Theory Down Under (Canberra, 1996), de Gruyter, Berlin, 1999, pp. 23-54.
7. T. Delzant and M. Gromov, Cuts in Kähler groups, Infinite Groups: Geometric, Combinatorial and Dynamical Aspects, Progr. Math., vol. 248, Birkhäuser, Basel, 2005, pp. 31-55.
8. É. Ghys and P. de la Harpe (eds.), Sur les groupes hyperboliques d'après Mikhael Gromov, Progr. Math., vol. 83, Birkhäuser, Boston, MA, 1990, Papers from the Swiss Seminar on Hyperbolic Groups held in Bern, 1988.
9. F. Haglund and D. T. Wise, A combination theorem for special cube complexes, submitted.
10. F. Haglund and D. T. Wise, Special cube complexes, Geom. Funct. Anal. 17 (2008), no. 5, 1551-1620.
11. G. C. Hruska and D. T. Wise, Finiteness properties of cubulated groups, preprint, 2010.
12. J. Kahn and V. Markovic, Immersing almost geodesic surfaces in a closed hyperbolic three manifold, preprint, 2009.
13. H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336-354.
14. M. Lackenby, Surface subgroups of Kleinian groups with torsion, Invent. Math. 179 (2010), no. 1, 175-190.
15. A. Lubotzky, Eigenvalues of the Laplacian, the first Betti number and the congruence subgroup problem, Ann. of Math. (2) 144 (1996), no. 2, 441-452.
16. M. Sageev, Ends of group pairs and non-positively curved cube complexes, Proc. London Math. Soc. (3) 71 (1995), no. 3, 585-617.
17. M. Sageev, Codimension-1 subgroups and splittings of groups, J. Algebra 189 (1997), no. 2, 377-389.
18. D. T. Wise, Research announcement: the structure of groups with a quasiconvex hierarchy, Electron. Res. Announc. Math. Sci. 16 (2009), 44-55.
19. A. Yaman, A topological characterisation of relatively hyperbolic groups, J. Reine Angew. Math. 566 (2004), 41-89.