J. Dymara

activity

19992025

L^{2}

-cohomology of Coxeter groups

44 citations · 85 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.GT2006★ 1 cited

Boundaries of right-angled hyperbolic buildings

Jan Dymara, Damian Osajda

We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. Corollary: the 3-dimensional universal Menger space is the boundary of some Gromov-hyp…

math.GT2006★ 31 cited

Thin buildings

Jan Dymara

Let X be a building of uniform thickness q+1. L^2-Betti numbers of X are reinterpreted as von-Neumann dimensions of weighted L^2-cohomology of the underlying Coxeter group. The dim…

math.GT2004★ 44 cited

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 $Σ$ associated to $(W, S)$ .…

Boundaries of right-angled hyperbolic buildings

Thin buildings

Weighted L2-cohomology of Coxeter groups

Weighted $L^{2}$ -cohomology of Coxeter groups