A Gelfand-MacPherson correspondence for quiver moduli
Algebraic Geometry
2022-11-28 v1 Representation Theory
Abstract
We show that a semi-stable moduli space of representations of an acyclic quiver can be identified with two GIT quotients by reductive groups. One of a quiver Grassmannian of a projective representation, the other of a quiver Grassmannian of an injective representation. This recovers as special cases the classical Gelfand-MacPherson correspondence and its generalization by Hu and Kim to bipartite quivers, as well as the Zelevinsky map for a quiver of Dynkin type A with the linear orientation.
Cite
@article{arxiv.2211.14195,
title = {A Gelfand-MacPherson correspondence for quiver moduli},
author = {Hans Franzen},
journal= {arXiv preprint arXiv:2211.14195},
year = {2022}
}
Comments
28 pages, comments are welcome