What type of study is this?

This is a Quantitative Study study.

September 29, 2025Open Access

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

Key Points

The study classifies quiver Grassmannians of string representations, highlighting their GKM-variety structure.
Key properties include cellular decomposition and a torus action with finitely many fixed points and one-dimensional orbits.
Focusing on equioriented type A and nilpotent equioriented type quiver representations, the analysis provides insight on skeletal actions.
GKM-varieties exhibit unique torus actions crucial for understanding quiver representations in geometry.

Abstract

Quiver Grassmannians of equioriented type A and nilpotent equioriented type 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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Alexander Pütz (Tue,) studied this question.

synapsesocial.com/papers/68da58c9c1728099cfd10954 https://doi.org/https://doi.org/10.48550/arxiv.2503.08233

Bookmark

View Full Paper