Properness of moment maps for representations of quivers
Algebraic Geometry
2017-12-05 v1 Symplectic Geometry
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.
Cite
@article{arxiv.1712.00934,
title = {Properness of moment maps for representations of quivers},
author = {Pradeep Das},
journal= {arXiv preprint arXiv:1712.00934},
year = {2017}
}
Comments
Section 1 of this article recalls the definitions and notations from arxiv:1711.04108, of which the author is a joint author. Therefore, there is some text overlap between this article and arxiv:1711.04108