Weighted $L^2$-cohomology of Coxeter groups

M. W. Davis, J. Dymara, T. Januszkiewicz +1

Given a Coxeter system $(W,S)$ and a positive real multiparameter $\bq$, we study the "weighted $L^2$-cohomology groups," of a certain simplicial complex $\Sigma$ associated to $(W,S)$.…