Abstract:

Torus actions and the manifolds which admit them have been vastly studied, in particular by Goresky, Kottwitz and MacPherson (GKM) who, amongst other things, are known for having established criteria under which we may associate labelled graphs, or one-skeleta, to such manifolds. The aim of this talk is to see how to use the GKM one-skeleton associated to an equivariantly formal GKM manifold to compute its equivariant cohomology ring.