4 problems

Let $M^{2n}$ be a GKM$_4$ manifold with GKM graph $\Gamma$. A torus manifold is a manifold with an effective action of a torus whose dimension is half the manifold dimension, and a…

Let $K_T({\mathcal{M}}_{\mathbb{D}})$ be identified with the space of functions $\psi\colon W_{\mathrm{af}}\to R(T)$ that are constant on $W$-cosets and satisfy the GKM-type divisi…

Nonextendibility conjecture. Most homogeneous GKM-manifolds are nonextendible, with possibly a few exceptions determined by the condition

Gap-property conjecture. Any homogeneous GKM-manifold satisfies the gap property: if its GKM-graph is $j$-independent for some $j\geq 4$, then it is $n$-independent, where $n$ is t…