Geometry & Topology Volume 20, issue 2 (2016)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author Index

To Appear

Other MSP Journals

Volume and homology growth of aspherical manifolds

Roman Sauer

Geometry & Topology 20 (2016) 1035–1059

DOI: 10.2140/gt.2016.20.1035

Bibliography

1	M Abért, N Nikolov, Rank gradient, cost of groups and the rank versus Heegaard genus problem, J. Eur. Math. Soc. (JEMS) 14 (2012) 1657 MR2966663
2	W Ballmann, M Gromov, V Schroeder, Manifolds of nonpositive curvature, 61, Birkhäuser (1985) MR823981
3	N Bergeron, A Venkatesh, The asymptotic growth of torsion homology for arithmetic groups, J. Inst. Math. Jussieu 12 (2013) 391 MR3028790
4	G E Bredon, Introduction to compact transformation groups, 46, Academic Press (1972) MR0413144
5	C W Curtis, I Reiner, Methods of representation theory, I, Wiley (1981) MR632548
6	V Emery, Torsion homology of arithmetic lattices and K₂ of imaginary fields, Math. Z. 277 (2014) 1155 MR3229985
7	T Gelander, Homotopy type and volume of locally symmetric manifolds, Duke Math. J. 124 (2004) 459 MR2084613
8	M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. (1982) 5 MR686042
9	M Gromov, Large Riemannian manifolds, from: "Curvature and topology of Riemannian manifolds" (editors K Shiohama, T Sakai, T Sunada), Lecture Notes in Math. 1201, Springer (1986) 108 MR859578
10	M Gromov, Metric structures for Riemannian and non-Riemannian spaces, Birkhäuser (2007) MR2307192
11	L Guth, Volumes of balls in large Riemannian manifolds, Ann. of Math. 173 (2011) 51 MR2753599
12	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
13	M Lackenby, Large groups, property (τ) and the homology growth of subgroups, Math. Proc. Cambridge Philos. Soc. 146 (2009) 625 MR2496348
14	M Lackenby, Detecting large groups, J. Algebra 324 (2010) 2636 MR2725193
15	W Lück, L²–invariants : theory and applications to geometry and K–theory, 44, Springer (2002) MR1926649
16	W Lück, Approximating L²–invariants and homology growth, Geom. Funct. Anal. 23 (2013) 622 MR3053758
17	D S Ornstein, B Weiss, Ergodic theory of amenable group actions, I : The Rohlin lemma, Bull. Amer. Math. Soc. 2 (1980) 161 MR551753
18	R Sauer, Amenable covers, volume and L²–Betti numbers of aspherical manifolds, J. Reine Angew. Math. 636 (2009) 47 MR2572246
19	C Soulé, Perfect forms and the Vandiver conjecture, J. Reine Angew. Math. 517 (1999) 209 MR1728540
20	T tom Dieck, Transformation groups, 8, de Gruyter (1987) MR889050
21	B Weiss, Monotileable amenable groups, from: "Topology, ergodic theory, real algebraic geometry" (editors V Turaev, A Vershik), Amer. Math. Soc. Transl. Ser. 2 202, Amer. Math. Soc. (2001) 257 MR1819193