Permutation actions on Quiver Grassmannians for the equioriented cycle via GKM-Theory
Representation Theory
2021-05-24 v1 Combinatorics
Abstract
In previous work we equipped quiver Grassmannians for nilpotent representations of the equioriented cycle with an action of an algebraic torus. We show here that the equivariant cohomology ring is acted upon by a product of symmetric groups and we investigate this permutation action via GKM techniques. In the case of (type A) flag varieties, or Schubert varieties therein, we recover Tymoczko's results on permutation representations.
Keywords
Cite
@article{arxiv.2105.10122,
title = {Permutation actions on Quiver Grassmannians for the equioriented cycle via GKM-Theory},
author = {Martina Lanini and Alexander Pütz},
journal= {arXiv preprint arXiv:2105.10122},
year = {2021}
}