This analysis classifies quiver Grassmannians in string representations, highlighting their GKM-variety structure and fixed points.
Quiver Grassmannians of equioriented type A and nilpotent equioriented type à quiver representations are GKM-varieties. In particular, they have a cellular decomposition and admit a torus action with finitely many fixed points and one-dimensional orbits (i.e. skeletal action). We examine the case of string representations and provide a classification of all corresponding quiver Grassmannians with a GKM-variety structure.
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Alexander Pütz (2025) studied this question.
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