ℓ2-homology of right-angled Coxeter groups based on barycentric subdivisions

Topology and its Applications

Volumn 140, Issue 2-3, 2004, Pages 197-202

  Davis, Michael W ^a   Okun, Boris ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

2 Betti numbers; 2 homology; Aspherical manifold; Barycentric subdivision; Coxeter group

Indexed keywords

EID: 2342544037     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2003.07.008     Document Type: Article

References (6)

1. Davis M.W. Groups generated by reflections and aspherical manifolds not covered by Euclidean space Ann. of Math. (2) 117 1983 293-324
2. Davis M.W. Coxeter groups and aspherical manifolds Algebraic Topology Aarhus 1982 Lecture Notes in Math. vol. 1051 1984 197-221 Springer New York
3. Davis M.W. Some aspherical manifolds Duke Math. J. 55 1987 105-139
4. Davis M.W. Nonpositive curvature and reflection groups Daverman R. Sher R. Handbook of Geometric Topology 2002 373-422 Elsevier Amsterdam
5. 2-homology of right-angled Coxeter groups Geom. Topology 5 2001 7-74
6. Tomei C. The topology of isospectral manifolds of tridiagonal matrices Duke Math. J. 51 1984 981-996