50 citations · 89 across the 10 of their papers we have counts for
11 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…
A Cartan formula for the cohomology of polyhedral products and its application to the ring structure
A. Bahri, M. Bendersky, F. R. Cohen +1
We give a geometric method for determining the cohomology groups and the product structure of a polyhedral product, under suitable freeness conditions or with coefficients taken in…
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…
On the Rational Type 0f Moment Angle Complexes
A. Bahri, M. Bendersky, F. R. Cohen and +1
In this note it is shown that the moment angle complexes Z(K;(D^2,,S^1)) which are rationally elliptic are a product of odd spheres and a disk
On monomial ideal rings and a theorem of Trevisan
A. Bahri, M. Bendersky, F. R. Cohen +1
A direct proof is presented of a form of Alvise Trevisan's result, that every monomial ideal ring is represented by the cohomology of topological space. Certain of these rings are…
Operations on polyhedral products and a new topological construction of infinite families of toric manifolds
A. Bahri, M. Bendersky, F. R. Cohen +1
A combinatorial construction is used to analyze the properties of polyhedral products and generalized moment-angle complexes with respect to certain operations on CW pairs includin…
The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds
L. Astey, A. Bahri, M. Bendersky +6
This paper contains an explicit computation of the KO*-ring structure of an m-fold product of CP^{\infty}, the Davis-Januszkiewicz spaces and toric manifolds which have trivial Sq^…
Cup-products in generalized moment-angle complexes
A. Bahri, M. Bendersky, F. R. Cohen +1
Given a family of based CW-pairs together with an abstract simplicial complex with vertices, there is an associated based…
Intersections of Quadrics, Moment-angle Manifolds and Connected Sums
Samuel Gitler, Santiago Lopez de Medrano
The topology of the intersection of two real homogeneous coaxial quadrics was studied by the second author who showed that its intersection with the unit sphere is in most cases di…
The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces
A. Bahri, M. Bendersky, F. R. Cohen +1
This article gives a natural decomposition of the suspension of generalized moment-angle complexes or {\it partial product spaces} which arise as {\it polyhedral product functors}…