Translation quiver varieties
Algebraic Geometry
2022-02-21 v3 Representation Theory
Abstract
We introduce a framework of translation quiver varieties which includes Nakajima quiver varieties as well as their graded and cyclic versions. An important feature of translation quiver varieties is that the sets of their fixed points under toric actions can be again realized as translation quiver varieties. This allows one to simplify quiver varieties in several steps. We prove that translation quiver varieties are smooth, pure and have Tate motivic classes. We also describe an algorithm to compute those motivic classes.
Keywords
Cite
@article{arxiv.1911.01788,
title = {Translation quiver varieties},
author = {Sergey Mozgovoy},
journal= {arXiv preprint arXiv:1911.01788},
year = {2022}
}
Comments
41 pages, new Sections 3.3, 6.3 and Lemma 6.6