Properness of moment maps for representations of quivers
classification
🧮 math.AG
math.SG
keywords
momentrepresentationsmapspropernessquiverquiversacycliccondition
read the original abstract
In this note, we give a necessary and sufficient condition for the properness of moment maps for representations of quivers. We show that the moment map for the representations of a quiver is proper if and only if the quiver is acyclic, that is, it does not contain any oriented cycle.
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