Models for classifying spaces of coabelian subgroups of right-angled Coxeter groups are built as homotopy orbits of moment-angle complexes, identifying their cohomology with equivariant cohomology and giving a graph-theoretic test for equivariant formality and module freeness.
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Equivariant formality and the cohomology of subgroups of right-angled Coxeter groups
Models for classifying spaces of coabelian subgroups of right-angled Coxeter groups are built as homotopy orbits of moment-angle complexes, identifying their cohomology with equivariant cohomology and giving a graph-theoretic test for equivariant formality and module freeness.