Here, the study of torus actions on topological spaces is presented as a bridge connecting
combinatorial and convex geometry with commutative and homological algebra, algebraic …

A family of closed manifolds is said to be cohomologically rigid if a cohomology ring
isomorphism implies a diffeomorphism for any two manifolds in the family. Cohomological …

This chapter reviews the various fundamental unstable and stable splitting theorems for the
polyhedral product. It presents results on the cohomology of polyhedral products. The …

This article gives a natural decomposition of the suspension of generalized moment-angle
complexes or partial product spaces which arise as polyhedral product functors described …

Associated to every finite simplicial complex K there is a" moment-angle" finite CW-complex,
Z_K; if K is a triangulation of a sphere, Z_K is a smooth, compact manifold. Building on work …

We study the homotopy types of moment-angle complexes, or equivalently, of complements
of coordinate subspace arrangements. The overall aim is to identify the simplicial complexes …

A combinatorial construction is used to analyze the properties of polyhedral products [1] and
generalized moment-angle complexes with respect to certain operations on CW pairs …

We construct and study polyhedral product models for classifying spaces of right-angled
Artin and Coxeter groups, general graph product groups and their commutator subgroups …

For each strongly connected finite-dimensional (pure) simplicial complex Δ we construct a
finite group Π(Δ), the group of projectivities of Δ, which is a combinatorial but not a …

We put a cochain complex structure CH⁎(ZK) on the cohomology of a moment-angle
complex ZK and call the resulting cohomology the double cohomology, HH⁎(ZK). We give …