The ` 2-homology of even Coxeter groups

  title={The ` 2-homology of even Coxeter groups},
  author={Timothy A. Schroeder},
Given a Coxeter system (W, S), there is an associated CW-complex, denoted Σ(W, S) (or simply Σ), on which W acts properly and cocompactly. This is the Davis complex. L, the nerve of (W, S), is a finite simplicial complex. We prove that when (W, S) is an even Coxeter system and L is a flag triangulation of S, then the reduced `-homology of Σ vanishes in all but the middle dimension. In so doing, our main effort will be examining a certain subspace of Σ called the (S, t)-ruin, for some t ∈ S. To… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-9 of 9 references

Weighted `2cohomology of Coxeter groups

  • M. Davis, J. Dymara, T. Januszkiewicz, B. Okun
  • Geometry & Topology 11
  • 2007
3 Excerpts

Introduction to `2-Homology

  • B. Eckmann
  • Notes by Guido Mislin, based on on lectures by…
  • 1998
1 Excerpt

Hyperbolic Coxeter Groups

  • G. Moussong
  • Dissertation, The Ohio State University
  • 1988
1 Excerpt

On convex polyhedra of finite volume in Lobac̆evskiĭ space

  • E. Andreev
  • Math. USSR SB. 12
  • 1970

Similar Papers

Loading similar papers…