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Publications Influence

On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain

Soit Ω un ensemble ouvert borne regulier et connexe de R N , N≥3. On considere u:Ω→R telle que −Δu=u (N+2)/(N−2) dans Ω, u>0 dans Ω, u=0 sur ∂Ω. On note par Hd(Ω; Z 2 ) l'homologie de diemnsion d de… Expand

614 63

The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces

- A. Bahri, M. Bendersky, F. Cohen, S. Gitler
- Mathematics
- 29 November 2007

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} described below. … Expand

155 17- PDF

Operations on polyhedral products and a new topological construction of infinite families of toric manifolds

- A. Bahri, M. Bendersky, F. Cohen, S. Gitler
- Mathematics
- 30 October 2010

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 including exponentiation.… Expand

47 4- PDF

The -theory of toric manifolds

- A. Bahri, M. Bendersky
- Mathematics
- 26 July 1999

Toric manifolds, the topological analogue of toric varieties, are determined by an n-dimensional simple convex polytope and a function from the set of codimensionone faces into the primitive vectors… Expand

20 3

The KO-theory of Toric Manifolds

- A. Bahri, M. Bendersky
- Mathematics
- 16 April 1999

We use the Adams spectral sequence to compute the KO-theory of all toric manifolds and certain singular toric varieties.

14 3- PDF

On decomposing suspensions of simplicial spaces

- A. Adem, A. Bahri, F. Cohen, S. Gitler, M. Bendersky
- Mathematics
- 29 April 2009

Let $X_{\bullet}$ denote a simplicial space. The purpose of this note is to record a decomposition of the suspension of the individual spaces $X_n$ occurring in $X_{\bullet}$ in case the spaces $X_n$… Expand

8 3

The equivariant cohomology ring of weighted projective space

We describe the integral equivariant cohomology of a weighted projective space in terms of piecewise polynomials, as well as by generators and relations. Unlike the ordinary integral cohomology, this… Expand

30 2- PDF

A NEW TOPOLOGICAL CONSTRUCTION OF INFINITE FAMILIES OF TORIC MANIFOLDS IMPLYING FAN REDUCTION

- A. Bahri, M. Bendersky, F. Cohen, S. Gitler
- Mathematics
- 30 October 2010

An infinite family of toric manifolds is constructed from a given one M 2n , using only the original characteristic function (or fan) data. This is done in a way which sim- plifies significantly the… Expand

5 2

Cup-products for the polyhedral product functor

- A. Bahri, M. Bendersky, F. Cohen, S. Gitler
- Mathematics
- 1 November 2012

Davis–Januszkiewicz introduced manifolds which are now known as moment-angle manifolds over a polytope [ 6 ]. Buchstaber–Panov introduced and extensively studied moment-angle complexes defined for… Expand

22 2