27 citations · 105 across the 20 of their papers we have counts for
20 papers
A stability theorem for bigraded persistence barcodes
Anthony Bahri, Ivan Limonchenko, Taras Panov +2
We define bigraded persistent homology modules and bigraded barcodes of a finite pseudo-metric space X using the ordinary and double homology of the moment-angle complex associated…
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…
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…
Infinite Families of Equivariantly Formal Toric Orbifolds
Anthony Bahri, Soumen Sarkar, Jongbaek Song
The simplicial wedge construction on simplicial complexes and simple polytopes has been used by a variety of authors to study toric and related spaces, including non-singular toric…
On integral cohomology of certain orbifolds
Anthony Bahri, Dietrich Notbohm, Soumen Sarkar +1
The CW structure of certain spaces, such as effective orbifolds, can be too complicated for computational purposes. In this paper we use the concept of -CW complex stru…
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…