4 papers · 1 filter
Equivariant formality and the cohomology of subgroups of right-angled Coxeter groups
Steven Amelotte, Vladimir Gorchakov
We construct models for the classifying spaces of coabelian subgroups of right-angled Coxeter groups as homotopy orbit spaces of real moment-angle complexes, generalizing well-know…
Homotopy types of moment-angle complexes associated to almost linear resolutions
Steven Amelotte, Benjamin Briggs
We show that the Hurewicz image in the homology of a moment-angle complex, when passed through an isomorphism with the Ext-module of the corresponding Stanley-Reisner ideal, contai…
Product decompositions of moment-angle manifolds and -rigidity
Steven Amelotte, Benjamin Briggs
A simple polytope is called -rigid if its combinatorial type is determined by the cohomology ring of the moment-angle manifold over . We show that any ten…
Connected sums of sphere products and minimally non-Golod complexes
Steven Amelotte
We show that if the moment-angle complex associated to a simplicial complex is homotopy equivalent to a connected sum of sphere products with two spheres in eac…