Loop space decompositions of moment-angle complexes associated to graphs

Abstract

We prove that the loop space of moment-angle complexes associated to a graph is homotopy equivalent to a finite type product of spheres and loops on simply connected spheres. To do this, a general result showing that the retract of a finite type product of spheres and loops on simply connected spheres is of the same form is proved.Comment: 21 pages, comments welcom