On the Rational Type 0f Moment Angle Complexes

TL;DR

This paper demonstrates that rationally elliptic moment angle complexes are topologically equivalent to products of odd spheres and disks, providing a clear classification of their structure.

Contribution

It establishes that rationally elliptic moment angle complexes are precisely products of odd spheres and disks, clarifying their topological structure.

Findings

Rationally elliptic moment angle complexes are products of odd spheres and disks.

Provides a classification of these complexes based on their rational homotopy type.

Simplifies understanding of the topology of moment angle complexes in this class.

Abstract

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