Rational homology 3-spheres and SL(2,$\mathbb{C}$) representations

Sudipta Ghosh, Steven Sivek, Raphael Zentner

We use instanton gauge theory to prove that if $Y$ is a closed, orientable $3$-manifold such that $H_1(Y;\mathbb{Z})$ is nontrivial and either $2$-torsion or $3$-torsion, and if $Y…