Skeletal Torus Actions and GKM Structures on Quiver Grassmannians of String Representations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929753053724672 |
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| author | Pütz, Alexander |
| author_facet | Pütz, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08233 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skeletal Torus Actions and GKM Structures on Quiver Grassmannians of String Representations Pütz, Alexander Representation Theory Algebraic Geometry Combinatorics 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. |
| title | Skeletal Torus Actions and GKM Structures on Quiver Grassmannians of String Representations |
| topic | Representation Theory Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2503.08233 |