Balanced fiber bundles and GKM theory

Victor Guillemin, Silvia Sabatini, Catalin Zara

Let $T$ be a torus and $B$ a compact $T-$manifold. Goresky, Kottwitz, and MacPherson show in \cite{GKM} that if $B$ is (what was subsequently called) a GKM manifold, then there exi…