GKM theory for torus actions with non-isolated fixed points

Victor Guillemin, Tara S. Holm

Let $M^{2d}$ be a compact symplectic manifold and $T$ a compact $n$-dimensional torus. A Hamiltonian action, $\tau$, of $T$ on $M$ is a GKM action if, for every $p\in M^T$, the isotr…