Harder-Narasimhan Filtration on Moment Map for Quiver Representations
Representation Theory
2025-11-17 v2 Algebraic Geometry
Abstract
For a quiver without loops with many edges, we generalize the methods of Kac, Crawley-Boevey and Reineke and compute the dimension of Harder-Narasimhan strata of the zero set of the moment map. We notice a link between this dimension and the terms in the Kac's polynomial, which is given by the equivariant cohomology of this zero set.
Keywords
Cite
@article{arxiv.2511.02449,
title = {Harder-Narasimhan Filtration on Moment Map for Quiver Representations},
author = {Ching Yan Timothy Yau},
journal= {arXiv preprint arXiv:2511.02449},
year = {2025}
}
Comments
17 pages, minor typos fixed. Comments Welcome!