Volume 15, issue 3 (2015)

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

Volume 21
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541

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
The minimum $b_2$ problem for right-angled Artin groups

Alyson Hildum

Algebraic & Geometric Topology 15 (2015) 1599–1641
Bibliography
1 S Baldridge, P Kirk, On symplectic $4$–manifolds with prescribed fundamental group, Comment. Math. Helv. 82 (2007) 845 MR2341842
2 S Baldridge, P Kirk, Constructions of small symplectic 4-manifolds using Luttinger surgery, J. Differential Geom. 82 (2009) 317 MR2520795
3 R Charney, M W Davis, Finite $K(\pi,1)$s for Artin groups, from: "Prospects in topology" (editor F Quinn), Ann. of Math. Stud. 138, Princeton Univ. Press (1995) 110 MR1368655
4 P Delsarte, J M Goethals, Alternating bilinear forms over $\mathrm{GF}(q)$, J. Combinatorial Theory Ser. A 19 (1975) 26 MR0401810
5 B Eckmann, $4$–manifolds, group invariants, and $l_2$–Betti numbers, Enseign. Math. 43 (1997) 271 MR1489886
6 J C Hausmann, S Weinberger, Caractéristiques d'Euler et groupes fondamentaux des variétés de dimension $4$, Comment. Math. Helv. 60 (1985) 139 MR787667
7 F E A Johnson, D Kotschick, On the signature and Euler characteristic of certain four-manifolds, Math. Proc. Cambridge Philos. Soc. 114 (1993) 431 MR1235990
8 P Kirk, C Livingston, The Hausmann–Weinberger $4$–manifold invariant of abelian groups, Proc. Amer. Math. Soc. 133 (2005) 1537 MR2111955
9 P Kirk, C Livingston, The geography problem for $4$–manifolds with specified fundamental group, Trans. Amer. Math. Soc. 361 (2009) 4091 MR2500880
10 D Kotschick, Four-manifold invariants of finitely presentable groups, from: "Topology, geometry and field theory", World Sci. Publ. (1994) 89 MR1312175
11 D Kotschick, Minimizing Euler characteristics of symplectic four-manifolds, Proc. Amer. Math. Soc. 134 (2006) 3081 MR2231635
12 W Lück, $L^2$–Betti numbers of mapping tori and groups, Topology 33 (1994) 203 MR1273782
13 J Milnor, A procedure for killing homotopy groups of differentiable manifolds, from: "Differential geometry", Proc. Sympos. Pure Math. 3, Amer. Math. Soc. (1961) 39 MR0130696