Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.08366 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- We study the manifold $Q_{Γ, λ}$ of isospectral real skew-symmetric matrices with a prescribed sparsity pattern determined by a graph $Γ$. The compact torus $T^n$ acts naturally on $Q_{Γ,λ}$ by conjugation, and this action can be studied using GKM theory. We prove two results about this manifold and its GKM graph. The first theorem describes how the GKM graph of $Q_{Γ, λ}$ is obtained from the GKM graph of the corresponding manifold $M_{Γ, λ}$ of isospectral Hermitian matrices. The second theorem gives a criterion for equivariant formality of $Q_{Γ, λ}$.