Geometry & Topology Volume 19, issue 1 (2015)

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Injectivity radii of hyperbolic integer homology $3$–spheres

Jeffrey F Brock and Nathan M Dunfield

Geometry & Topology 19 (2015) 497–523

DOI: 10.2140/gt.2015.19.497

Bibliography

1	M Abert, N Bergeron, I Biringer, T Gelander, N Nikolov, J Raimbault, I Samet, On the growth of L²–invariants for sequences of lattices in Lie groups, arXiv:1210.2961
2	I Agol, Criteria for virtual fibering, J. Topol. 1 (2008) 269 MR2399130
3	N Bergeron, A Venkatesh, The asymptotic growth of torsion homology for arithmetic groups, J. Inst. Math. Jussieu 12 (2013) 391 MR3028790
4	W Bosma, J Cannon, C Fieker, A Steel, Handbook of MAGMA functions
5	N Boston, J S Ellenberg, Pro-p groups and towers of rational homology spheres, Geom. Topol. 10 (2006) 331 MR2224459
6	J F Brock, K W Bromberg, On the density of geometrically finite Kleinian groups, Acta Math. 192 (2004) 33 MR2079598
7	J F Brock, Y N Minsky, H Namazi, J Souto, Bounded combinatorics and uniform models for hyperbolic 3–manifolds, arXiv:1312.2293
8	F Calegari, N M Dunfield, Data files and Magma programs for ‘Automorphic forms and rational homology 3–spheres’
9	F Calegari, N M Dunfield, Automorphic forms and rational homology 3–spheres, Geom. Topol. 10 (2006) 295 MR2224458
10	F Calegari, A Venkatesh, A torsion Jacquet–Langlands correspondence, arXiv:1212.3847
11	J Cheeger, Analytic torsion and the heat equation, Ann. of Math. 109 (1979) 259 MR528965
12	V Gadre, The limit set of the handlebody set has measure zero
13	S P Kerckhoff, The measure of the limit set of the handlebody group, Topology 29 (1990) 27 MR1046623
14	T T Q Le, Hyperbolic volume, Mahler measure and homology growth
15	D D Long, A W Reid, Simple quotients of hyperbolic 3–manifold groups, Proc. Amer. Math. Soc. 126 (1998) 877 MR1459136
16	J Lott, Heat kernels on covering spaces and topological invariants, J. Differential Geom. 35 (1992) 471 MR1158345
17	W Lück, Approximating L²–invariants by their finite-dimensional analogues, Geom. Funct. Anal. 4 (1994) 455 MR1280122
18	C T McMullen, Renormalization and 3–manifolds which fiber over the circle, 142, Princeton Univ. Press (1996) MR1401347
19	Y N Minsky, Bounded geometry for Kleinian groups, Invent. Math. 146 (2001) 143 MR1859020
20	W Müller, Analytic torsion and R–torsion of Riemannian manifolds, Adv. in Math. 28 (1978) 233 MR498252
21	H Namazi, Heegaard splittings and hyperbolic geometry, PhD thesis, Yale University (2005)
22	H Namazi, J Souto, Heegaard splittings and pseudo-Anosov maps, Geom. Funct. Anal. 19 (2009) 1195 MR2570321
23	A Page, Algorithms for arithmetic Kleinian groups
24	A Page, KleinianGroups, version 1.0
25	C Petronio, J Porti, Negatively oriented ideal triangulations and a proof of Thurston’s hyperbolic Dehn filling theorem, Expo. Math. 18 (2000) 1 MR1751141
26	J S Purcell, J Souto, Geometric limits of knot complements, J. Topol. 3 (2010) 759 MR2746337
27	M H Şengün, On the integral cohomology of Bianchi groups, Exp. Math. 20 (2011) 487 MR2859903
28	M H Şengün, On the integral cohomology of Bianchi groups (2012)
29	M H Şengün, On the torsion homology of nonarithmetic hyperbolic tetrahedral groups, Int. J. Number Theory 8 (2012) 311 MR2890481
30	W P Thurston, Hyperbolic structures on 3–manifolds, II : Surface groups and 3–manifolds which fiber over the circle, arXiv:math/9801045
31	W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
32	G Tian, A pinching theorem on manifolds with negative curvature, preprint
33	S K Yeung, Betti numbers on a tower of coverings, Duke Math. J. 73 (1994) 201 MR1257283