Invariants of Graphs, Their Associated Clique Complexes and Right-Angled Coxeter Groups
Presenter
October 19, 2010
Keywords:
- Geometry and Cell Complexes
Abstract
Associated to any simplicial graph there is a right-angled Coxeter group. Invariants of the Coxeter group such as its growth series or its weighted L^2 Betti numbers can be computed from the graph's clique complex (i.e., its flag complex).