activity
20002023
most citedThe polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces

50 citations · 232 across the 35 of their papers we have counts for

collaborators

36 papers

math.AT2023

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…

math.GR2022

On Schur Algebras and Derivations of Free Lie Algebras

Frederick Cohen, Mohamed Elhamdadi, Tao Jin +1

We investigate the action of Schur algebra on the Lie algebras of derivations of free Lie algebras and operad structures constructed from it. We also show that the Lie algebra of d…

math.AT2021

Infinite families of higher torsion in the homotopy groups of Moore spaces

Steven Amelotte, Frederick R. Cohen, Yuxin Luo

We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and use it to construct infinite -periodic families of elements of order $p^{r+1}…

math.AT2021

Orders of the canonical vector bundles over configuration spaces of finite graphs

Frederick R. Cohen, Ruizhi Huang

We prove that the order of the canonical vector bundle over the configuration space is for a general planar graph, and is for a nonplanar graph.

math.AT2020★ 1 cited

Equivariant Cohomology of Configuration Spaces mod 2: The State of the Art

Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb +2

The equivariant cohomology of the classical configuration space has been been of great interest and has been studied intensively starting with the classical pap…

math.AT2015★ 1 cited

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…