Toroidal graph manifolds with small homology are not SU(2)-abelian
Geometric Topology
2025-09-19 v2
Abstract
We show that if is a toroidal closed graph manifold rational homology -sphere with , then there exists an irreducible representation , using topological methods and avoiding the use of gauge theory. This answers positively to a conjecture by Baldwin and Sivek in the case of graph manifolds.
Keywords
Cite
@article{arxiv.2506.21729,
title = {Toroidal graph manifolds with small homology are not SU(2)-abelian},
author = {Giacomo Bascape},
journal= {arXiv preprint arXiv:2506.21729},
year = {2025}
}