3 papers
math.AT2026
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…
math.AT2025
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…
math.AT2025
Polyhedral coproducts
Steven Amelotte, William Hornslien, Lewis Stanton
Dualising the construction of a polyhedral product, we introduce the notion of a polyhedral coproduct as a certain homotopy limit over the face poset of a simplicial complex. We be…