Algebraic & Geometric Topology Volume 8, issue 1 (2008)

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Volume and homology of one-cusped hyperbolic $3$–manifolds

Marc Culler and Peter B Shalen

Algebraic & Geometric Topology 8 (2008) 343–379

DOI: 10.2140/agt.2008.8.343

Bibliography

1	I Agol, Tameness of hyperbolic $3$–manifolds arXiv:math.GT/0405568
2	I Agol, M Culler, P Shalen, Singular surfaces, mod 2 homology, and hyperbolic volume, I., to appear in Trans. Amer. Math. Soc. arXiv:math.GT/0506396
3	I Agol, M Culler, P B Shalen, Dehn surgery, homology and hyperbolic volume, Algebr. Geom. Topol. 6 (2006) 2297 MR2286027
4	J W Anderson, R D Canary, M Culler, P B Shalen, Free Kleinian groups and volumes of hyperbolic $3$–manifolds, J. Differential Geom. 43 (1996) 738 MR1412683
5	M D Baker, On boundary slopes of immersed incompressible surfaces, Ann. Inst. Fourier (Grenoble) 46 (1996) 1443 MR1427132
6	R Benedetti, C Petronio, Lectures on hyperbolic geometry, Universitext, Springer (1992) MR1219310
7	K Böröczky, Packing of spheres in spaces of constant curvature, Acta Math. Acad. Sci. Hungar. 32 (1978) 243 MR512399
8	K Böröczky, A Florian, Über die dichteste Kugelpackung im hyperbolischen Raum, Acta Math. Acad. Sci. Hungar 15 (1964) 237 MR0160155
9	D Calegari, D Gabai, Shrinkwrapping and the taming of hyperbolic $3$–manifolds, J. Amer. Math. Soc. 19 (2006) 385 MR2188131
10	M Culler, J DeBlois, P Shalen, Incompressible surfaces, hyperbolic volume, Heegaard genus and homology, in preparation
11	M Culler, P B Shalen, Paradoxical decompositions, $2$–generator Kleinian groups, and volumes of hyperbolic $3$–manifolds, J. Amer. Math. Soc. 5 (1992) 231 MR1135928
12	J Hass, S Wang, Q Zhou, On finiteness of the number of boundary slopes of immersed surfaces in $3$–manifolds, Proc. Amer. Math. Soc. 130 (2002) 1851 MR1887034
13	A E Hatcher, On the boundary curves of incompressible surfaces, Pacific J. Math. 99 (1982) 373 MR658066
14	J Hempel, $3$–manifolds, AMS Chelsea Publishing, Providence, RI (2004) MR2098385
15	T Jørgensen, A Marden, Algebraic and geometric convergence of Kleinian groups, Math. Scand. 66 (1990) 47 MR1060898
16	A G Kurosh, The theory of groups, Chelsea Publishing Co. (1960) MR0109842
17	U Oertel, Incompressible maps of surfaces and Dehn filling, Topology Appl. 136 (2004) 189 MR2023417
18	C Petronio, J Porti, Negatively oriented ideal triangulations and a proof of Thurston's hyperbolic Dehn filling theorem, Expo. Math. 18 (2000) 1 MR1751141
19	G P Scott, Compact submanifolds of $3$–manifolds, J. London Math. Soc. $(2)$ 7 (1973) 246 MR0326737
20	P B Shalen, P Wagreich, Growth rates, $Z_p$–homology, and volumes of hyperbolic $3$–manifolds, Trans. Amer. Math. Soc. 331 (1992) 895 MR1156298
21	J Stallings, Homology and central series of groups, J. Algebra 2 (1965) 170 MR0175956
22	J Weeks, C Hodgson, Census of closed hyperbolic $3$–manifolds