Volume 2 (1999)

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Combinatorial Dehn surgery on cubed and Haken 3–manifolds

Iain R Aitchison and J Hyam Rubinstein

Geometry & Topology Monographs 2 (1999) 1–21

DOI: 10.2140/gtm.1999.2.1

Bibliography
1 I R Aitchison, E Lumsden, J H Rubinstein, Cusp structures of alternating links, Invent. Math. 109 (1992) 473–494 MR1176199
2 I R Aitchison, S Matsumotoi, J H Rubinstein, Immersed surfaces in cubed manifolds, Asian J. Math. 1 (1997) 85–95 MR1480991
3 I R Aitchison, J H Rubinstein, An introduction to polyhedral metrics of nonpositive curvature on 3–manifolds, from: "Geometry of low-dimensional manifolds, 2 (Durham, 1989)", London Math. Soc. Lecture Note Ser. 151, Cambridge Univ. Press (1990) 127–161 MR1171913
4 I R Aitchison, J H Rubinstein, Incompressible surfaces and the topology of 3–dimensional manifolds, J. Austral. Math. Soc. Ser. A 55 (1993) 1–22 MR1231691
5 A I R., J H Rubinstein, Immersed incompressible surfaces in alternating link components, in preparation
6 A I R., J H Rubinstein, M Sageev, Separability properties of some immersed incompressible surfaces in 3–manifolds, in preparation
7 W Ballmann, M Gromov, V Schroeder, Manifolds of nonpositive curvature, Progress in Mathematics 61, Birkhäuser (1985) MR823981
8 S A Bleiler, C D Hodgson, Spherical space forms and Dehn surgery, from: "Knots 90 (Osaka, 1990)", de Gruyter (1992) 425–433 MR1177439
9 M Freedman, J Hass, P Scott, Least area incompressible surfaces in 3–manifolds, Invent. Math. 71 (1983) 609–642 MR695910
10 J Hass, H Rubinstein, P Scott, Compactifying coverings of closed 3–manifolds, J. Differential Geom. 30 (1989) 817–832 MR1021374
11 J Hass, P Scott, Homotopy equivalence and homeomorphism of 3–manifolds, Topology 31 (1992) 493–517 MR1174254
12 K Johannson, Homotopy equivalences of 3–manifolds with boundaries, Lecture Notes in Mathematics 761, Springer (1979) MR551744
13 K Johannson, On the loop- and sphere theorem, from: "Low-dimensional topology (Knoxville, TN, 1992)", Conf. Proc. Lecture Notes Geom. Topology, III, Int. Press, Cambridge, MA (1994) 47–54 MR1316171
14 W Jaco, J H Rubinstein, PL minimal surfaces in 3–manifolds, J. Differential Geom. 27 (1988) 493–524 MR940116
15 L Mosher, Geometry of cubulated 3–manifolds, Topology 34 (1995) 789–814 MR1362788
16 J M Paterson, The classification of 3–manifolds with 4–plane, quasi-finite immersed surfaces, Topology 39 (2000) 353–381 MR1722008
17 J Paterson, Immersed one-to-one projective surfaces in 3–manifolds, preprint
18 R Schoen, S T Yau, Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature, Ann. of Math. (2) 110 (1979) 127–142 MR541332
19 W P Thurston, The geometry and topology of 3–manifolds, lecture notes, Princeton University (1978)
20 F Waldhausen, On irreducible 3–manifolds which are sufficiently large, Ann. of Math. (2) 87 (1968) 56–88 MR0224099
21 F Waldhausen, The word problem in fundamental groups of sufficiently large irreducible 3–manifolds, Ann. of Math. (2) 88 (1968) 272–280 MR0240822