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arXiv · 2503.08233

Skeletal Torus Actions and GKM Structures on Quiver Grassmannians of String Representations

Alexander Pütz
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Abstract

Quiver Grassmannians of equioriented type $\texttt{A}$ and nilpotent equioriented type $\tilde{\texttt{A}}$ 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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BibTeXRIS

Alexander Pütz. 2025-03-11. Skeletal Torus Actions and GKM Structures on Quiver Grassmannians of String Representations. https://arxiv.org/abs/2503.08233

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