Algebraic & Geometric Topology Volume 9, issue 2 (2009)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

The $\ell^2$–homology of even Coxeter groups

Timothy A Schroeder

Algebraic & Geometric Topology 9 (2009) 1089–1104

DOI: 10.2140/agt.2009.9.1089

Bibliography

1	E M Andreev, Convex polyhedra of finite volume in Lobačevskiĭ space, Mat. Sb. (N.S.) 83 (125) (1970) 256 MR0273510
2	N Bourbaki, Lie groups and Lie algebras. Chapters 4–6, , Springer (2002) MR1890629
3	M W Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. (2) 117 (1983) 293 MR690848
4	M W Davis, The geometry and topology of Coxeter groups, 32, Princeton Univ. Press (2008) MR2360474
5	M W Davis, J Dymara, T Januszkiewicz, B Okun, Weighted L²–cohomology of Coxeter groups, Geom. Topol. 11 (2007) 47 MR2287919
6	M W Davis, G Moussong, Notes on nonpositively curved polyhedra, from: "Low dimensional topology (Eger, 1996/Budapest, 1998)" (editors K Böröczky Jr., W Neumann, A Stipsicz), Bolyai Soc. Math. Stud. 8, János Bolyai Math. Soc. (1999) 11 MR1747268
7	M W Davis, B Okun, Vanishing theorems and conjectures for the ℓ²–homology of right-angled Coxeter groups, Geom. Topol. 5 (2001) 7 MR1812434
8	B Eckmann, Introduction to l₂–methods in topology : reduced l₂–homology, harmonic chains, l₂–Betti numbers, Israel J. Math. 117 (2000) 183 MR1760592
9	J Lott, W Lück, L²–topological invariants of 3–manifolds, Invent. Math. 120 (1995) 15 MR1323981
10	G Moussong, Hyperbolic Coxeter groups, PhD thesis, The Ohio State University (1998)
11	T A Schroeder, Geometrization of 3–dimensional Coxeter orbifolds and Singer’s conjecture, Geom. Dedicata 140 (2009) 163