## A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds

*Baker , Mark D.*;

*Cooper, , Daryl*;

- Publisher: Oxford University Press
Related identifiers: doi: 10.1112/jtopol/jtn013 - Subject: [ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT] | 30F40 (Secondary) | Mathematics - Metric Geometry | Mathematics - Geometric Topology | 57M50 (Primary)arxiv: Mathematics::Geometric Topology

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[1] I. Agol, D.D. Long, A.W. Reid, The Bianchi groups are separable on geometrically finite subgroups, Ann. of Math. (2) 153 (2001), no. 3, 599-621.

[2] M.D. Baker, On boundary slopes of immersed incompressible surfaces, Ann. Inst. Fourier (Grenoble) 46 (1996), no. 5, 1443-1449.

[3] M.D. Baker, D. Cooper, Immersed, virtually-embedded, boundary slopes, Topology Appl. 102 (2000), no. 3, 239-252.

[4] M. Bestvina, M. Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992), no. 1, 85-101.

[5] B.H. Bowditch, Geometrical finiteness for hyperbolic groups. J. Funct. Anal. 113 (1993), no. 2, 245-317 Addendum and correction to: ”A combination theorem for negatively curved groups” J. Differential Geom. 43 (1996), no. 4, 783-788.

[6] D. Cooper, D.D. Long, Some Surface Subgroups Survive Surgery, Geom. Topol. 5 (2001), 347-367.

[7] D. Cooper, D.D. Long, Virtually Haken Dehn-filling, J. Differential Geom. 52 (1999), no. 1, 173-187.

[8] D. Cooper, D.D. Long, A.W. Reid, Bundles and finite foliations, Invent. Math. 118 (1994), no. 2, 255-283.

[9] M. Culler, P.B. Shalen, Boundary slopes of knots, Comment. Math. Helv. 74 (1999), no. 4, 530-547.

[10] M. Culler, C. McA. Gordon, J. Luecke, P.B. Shalen, Dehn surgery on knots, Ann. of Math. (2) 125 (1987), no. 2, 237-300.

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