Volume 13, issue 5 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22, 1 issue

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Homology equivalences of manifolds and zero-in-the-spectrum examples

Shengkui Ye

Algebraic & Geometric Topology 13 (2013) 2947–2965
Bibliography
1 A J Berrick, An approach to algebraic $K$–theory, Research Notes in Mathematics 56, Pitman (1982) MR649409
2 M Farber, Homological algebra of Novikov–Shubin invariants and Morse inequalities, Geom. Funct. Anal. 6 (1996) 628 MR1406667
3 M Farber, S Weinberger, On the zero-in-the-spectrum conjecture, Ann. of Math. 154 (2001) 139 MR1847591
4 C R Guilbault, F C Tinsley, Manifolds with non-stable fundamental groups at infinity, III, Geom. Topol. 10 (2006) 541 MR2224464
5 C R Guilbault, F C Tinsley, Spherical alterations of handles: embedding the manifold plus construction, Algebr. Geom. Topol. 13 (2013) 35 MR3031636
6 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
7 J C Hausmann, Homological surgery, Annals of Math. 104 (1976) 573 MR0423377
8 J C Hausmann, Manifolds with a given homology and fundamental group, Comment. Math. Helv. 53 (1978) 113 MR483534
9 J C Hausmann, S Weinberger, Caractéristiques d'Euler et groupes fondamentaux des variétés de dimension $4$, Comment. Math. Helv. 60 (1985) 139 MR787667
10 N Higson, J Roe, T Schick, Spaces with vanishing $l^2$–homology and their fundamental groups (after Farber and Weinberger), Geom. Dedicata 87 (2001) 335 MR1866855
11 P J Hilton, U Stammbach, A course in homological algebra, Graduate Texts in Mathematics 4, Springer (1997) MR1438546
12 M A Kervaire, On higher dimensional knots, from: "Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse)" (editor S S Cairns), Princeton Univ. Press (1965) 105 MR0178475
13 M A Kervaire, Smooth homology spheres and their fundamental groups, Trans. Amer. Math. Soc. 144 (1969) 67 MR0253347
14 W Lück, $L^2$–invariants: theory and applications to geometry and $K$–theory, Ergeb. Math. Grenzgeb. 44, Springer (2002) MR1926649
15 J Milnor, A procedure for killing homotopy groups of differentiable manifolds, Proc. Sympos. Pure Math. 3 (1961) 39 MR0130696
16 K Ohshika, Discrete groups, Translations of Mathematical Monographs 207, Amer. Math. Soc. (2002) MR1862839
17 A Ranicki, Algebraic and geometric surgery, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press (2002) MR2061749
18 J L Rodríguez, D Scevenels, Homology equivalences inducing an epimorphism on the fundamental group and Quillen's plus construction, Proc. Amer. Math. Soc. 132 (2004) 891 MR2019970
19 C T C Wall, Surgery on compact manifolds, London Mathematical Society Monographs 1, Academic Press (1970) MR0431216
20 S Ye, A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples, Israel J. Math. 192 (2012) 699 MR3009739
21 S Ye, Erratum to \textit“A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples”, to appear in Israel J. Math. (2013)