50 citations · 96 across the 17 of their papers we have counts for
17 papers
Symmetric Products and a Cartan-type formula for polyhedral products
A. Bahri, M. Bendersky, F. R. Cohen +1
We give a geometric method for determining the cohomology groups of a polyhedral product under suitable freeness conditions or with coefficients taken in a field. This is done by c…
Models for the Cohomology of Certain Polyhedral Products
Martin Bendersky, Jelena Grbić
For a commutative ring with unit, we describe and study various differential graded -modules and -algebras which are models for the cohomology of…
Polyhedral products and features of their homotopy theory
A. Bahri, M. Bendersky, F. R. Cohen
A polyhedral product is a natural subspace of a Cartesian product that is specified by a simplicial complex. The modern formalism arose as a generalization of the spaces known as m…
A spectral sequence for polyhedral products
A. Bahri, M. Bendersky, F. R. Cohen +1
The purpose of this paper is to exhibit fine structure for polyhedral products Z(K;(X,A) and polyhedral smash products . (Moment-angle complexes are special ca…
On free loop spaces of toric spaces
A. Bahri, M. Bendersky, S. Gitler +1
Growth of the Hilbert-Poincarë series for the rational homology of the free loop space of a toric space is addressed. In case the toric space is a manifold, the structure of the fa…
A generalization of the Davis-Januszkiewicz construction and applications to toric manifolds and iterated polyhedral products
A. Bahri, M. Bendersky, F. R. Cohen +1
The fundamental Davis-Januszkiewicz construction of toric manifolds is reinterpreted in order to allow for generalization. Applications involve the simplicial wedge -constructio…